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Finding the Fourth Proportional to 99.50, 137.30 and 55.82

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Solution

The fourth proportional to 99.50, 137.30 and 55.82 is: 77.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.50 : 137.30 = 55.82 : x
  2. Step 2: Convert to fraction form
    99.50/137.30 = 55.82/x
  3. Step 3: Cross multiply
    99.50x = 137.30 × 55.82
  4. Step 4: Simplify right side
    99.50x = 7,663.12
  5. Step 5: Solve for x
    x = 7,663.12/99.50
  6. Step 6: Final answer
    x = 77.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.