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Finding the Fourth Proportional to 91.48, 137.12 and 55.40

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Solution

The fourth proportional to 91.48, 137.12 and 55.40 is: 83.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.48 : 137.12 = 55.40 : x
  2. Step 2: Convert to fraction form
    91.48/137.12 = 55.40/x
  3. Step 3: Cross multiply
    91.48x = 137.12 × 55.40
  4. Step 4: Simplify right side
    91.48x = 7,596.45
  5. Step 5: Solve for x
    x = 7,596.45/91.48
  6. Step 6: Final answer
    x = 83.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.