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Finding the Fourth Proportional to 99.59, 137.42 and 55.32

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Solution

The fourth proportional to 99.59, 137.42 and 55.32 is: 76.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.59 : 137.42 = 55.32 : x
  2. Step 2: Convert to fraction form
    99.59/137.42 = 55.32/x
  3. Step 3: Cross multiply
    99.59x = 137.42 × 55.32
  4. Step 4: Simplify right side
    99.59x = 7,601.80
  5. Step 5: Solve for x
    x = 7,601.80/99.59
  6. Step 6: Final answer
    x = 76.33

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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.