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Finding the Fourth Proportional to 104.29, 155.72 and 91.54

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Solution

The fourth proportional to 104.29, 155.72 and 91.54 is: 136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.29 : 155.72 = 91.54 : x
  2. Step 2: Convert to fraction form
    104.29/155.72 = 91.54/x
  3. Step 3: Cross multiply
    104.29x = 155.72 × 91.54
  4. Step 4: Simplify right side
    104.29x = 14,254.61
  5. Step 5: Solve for x
    x = 14,254.61/104.29
  6. Step 6: Final answer
    x = 136.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.