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Finding the Fourth Proportional to 101.65, 140.23 and 64.79

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Solution

The fourth proportional to 101.65, 140.23 and 64.79 is: 89.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.65 : 140.23 = 64.79 : x
  2. Step 2: Convert to fraction form
    101.65/140.23 = 64.79/x
  3. Step 3: Cross multiply
    101.65x = 140.23 × 64.79
  4. Step 4: Simplify right side
    101.65x = 9,085.50
  5. Step 5: Solve for x
    x = 9,085.50/101.65
  6. Step 6: Final answer
    x = 89.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.