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Finding the Fourth Proportional to 99.55, 137.54 and 77.50

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Solution

The fourth proportional to 99.55, 137.54 and 77.50 is: 107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.55 : 137.54 = 77.50 : x
  2. Step 2: Convert to fraction form
    99.55/137.54 = 77.50/x
  3. Step 3: Cross multiply
    99.55x = 137.54 × 77.50
  4. Step 4: Simplify right side
    99.55x = 10,658.27
  5. Step 5: Solve for x
    x = 10,658.27/99.55
  6. Step 6: Final answer
    x = 107.07

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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.