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Finding the Fourth Proportional to 123.60, 184.76 and 87.55

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Solution

The fourth proportional to 123.60, 184.76 and 87.55 is: 130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.60 : 184.76 = 87.55 : x
  2. Step 2: Convert to fraction form
    123.60/184.76 = 87.55/x
  3. Step 3: Cross multiply
    123.60x = 184.76 × 87.55
  4. Step 4: Simplify right side
    123.60x = 16,175.74
  5. Step 5: Solve for x
    x = 16,175.74/123.60
  6. Step 6: Final answer
    x = 130.87

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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.