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Finding the Fourth Proportional to 102, 141.02 and 91.04

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Solution

The fourth proportional to 102, 141.02 and 91.04 is: 125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 141.02 = 91.04 : x
  2. Step 2: Convert to fraction form
    102/141.02 = 91.04/x
  3. Step 3: Cross multiply
    102x = 141.02 × 91.04
  4. Step 4: Simplify right side
    102x = 12,838.46
  5. Step 5: Solve for x
    x = 12,838.46/102
  6. Step 6: Final answer
    x = 125.87

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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.