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Finding the Fourth Proportional to 102.02, 140.64 and 65.15

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Solution

The fourth proportional to 102.02, 140.64 and 65.15 is: 89.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 140.64 = 65.15 : x
  2. Step 2: Convert to fraction form
    102.02/140.64 = 65.15/x
  3. Step 3: Cross multiply
    102.02x = 140.64 × 65.15
  4. Step 4: Simplify right side
    102.02x = 9,162.70
  5. Step 5: Solve for x
    x = 9,162.70/102.02
  6. Step 6: Final answer
    x = 89.81

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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.