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Finding the Fourth Proportional to 99.64, 137.50 and 55.97

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Solution

The fourth proportional to 99.64, 137.50 and 55.97 is: 77.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.64 : 137.50 = 55.97 : x
  2. Step 2: Convert to fraction form
    99.64/137.50 = 55.97/x
  3. Step 3: Cross multiply
    99.64x = 137.50 × 55.97
  4. Step 4: Simplify right side
    99.64x = 7,695.56
  5. Step 5: Solve for x
    x = 7,695.56/99.64
  6. Step 6: Final answer
    x = 77.24

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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.