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Finding the Fourth Proportional to 101.65, 142.40 and 101.65

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Solution

The fourth proportional to 101.65, 142.40 and 101.65 is: 142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.65 : 142.40 = 101.65 : x
  2. Step 2: Convert to fraction form
    101.65/142.40 = 101.65/x
  3. Step 3: Cross multiply
    101.65x = 142.40 × 101.65
  4. Step 4: Simplify right side
    101.65x = 14,474.96
  5. Step 5: Solve for x
    x = 14,474.96/101.65
  6. Step 6: Final answer
    x = 142.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.