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Finding the Fourth Proportional to 101.90, 152.96 and 65.42

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Solution

The fourth proportional to 101.90, 152.96 and 65.42 is: 98.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.90 : 152.96 = 65.42 : x
  2. Step 2: Convert to fraction form
    101.90/152.96 = 65.42/x
  3. Step 3: Cross multiply
    101.90x = 152.96 × 65.42
  4. Step 4: Simplify right side
    101.90x = 10,006.12
  5. Step 5: Solve for x
    x = 10,006.12/101.90
  6. Step 6: Final answer
    x = 98.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.