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Finding the Fourth Proportional to 102.34, 141.14 and 65.50

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Solution

The fourth proportional to 102.34, 141.14 and 65.50 is: 90.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.34 : 141.14 = 65.50 : x
  2. Step 2: Convert to fraction form
    102.34/141.14 = 65.50/x
  3. Step 3: Cross multiply
    102.34x = 141.14 × 65.50
  4. Step 4: Simplify right side
    102.34x = 9,244.67
  5. Step 5: Solve for x
    x = 9,244.67/102.34
  6. Step 6: Final answer
    x = 90.33

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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.