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Finding the Fourth Proportional to 90.55, 135.14 and 78.31

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Solution

The fourth proportional to 90.55, 135.14 and 78.31 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.55 : 135.14 = 78.31 : x
  2. Step 2: Convert to fraction form
    90.55/135.14 = 78.31/x
  3. Step 3: Cross multiply
    90.55x = 135.14 × 78.31
  4. Step 4: Simplify right side
    90.55x = 10,582.81
  5. Step 5: Solve for x
    x = 10,582.81/90.55
  6. Step 6: Final answer
    x = 116.87

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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.