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Finding the Fourth Proportional to 88.42, 131.76 and 85.52

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Solution

The fourth proportional to 88.42, 131.76 and 85.52 is: 127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.42 : 131.76 = 85.52 : x
  2. Step 2: Convert to fraction form
    88.42/131.76 = 85.52/x
  3. Step 3: Cross multiply
    88.42x = 131.76 × 85.52
  4. Step 4: Simplify right side
    88.42x = 11,268.12
  5. Step 5: Solve for x
    x = 11,268.12/88.42
  6. Step 6: Final answer
    x = 127.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.