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Finding the Fourth Proportional to 102.04, 140.71 and 65.20

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Solution

The fourth proportional to 102.04, 140.71 and 65.20 is: 89.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 140.71 = 65.20 : x
  2. Step 2: Convert to fraction form
    102.04/140.71 = 65.20/x
  3. Step 3: Cross multiply
    102.04x = 140.71 × 65.20
  4. Step 4: Simplify right side
    102.04x = 9,174.13
  5. Step 5: Solve for x
    x = 9,174.13/102.04
  6. Step 6: Final answer
    x = 89.91

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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.