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Finding the Fourth Proportional to 102.19, 140.98 and 65.29

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Solution

The fourth proportional to 102.19, 140.98 and 65.29 is: 90.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.19 : 140.98 = 65.29 : x
  2. Step 2: Convert to fraction form
    102.19/140.98 = 65.29/x
  3. Step 3: Cross multiply
    102.19x = 140.98 × 65.29
  4. Step 4: Simplify right side
    102.19x = 9,204.58
  5. Step 5: Solve for x
    x = 9,204.58/102.19
  6. Step 6: Final answer
    x = 90.07

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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.