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Finding the Fourth Proportional to 102.52, 154.13 and 56.95

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Solution

The fourth proportional to 102.52, 154.13 and 56.95 is: 85.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 154.13 = 56.95 : x
  2. Step 2: Convert to fraction form
    102.52/154.13 = 56.95/x
  3. Step 3: Cross multiply
    102.52x = 154.13 × 56.95
  4. Step 4: Simplify right side
    102.52x = 8,777.42
  5. Step 5: Solve for x
    x = 8,777.42/102.52
  6. Step 6: Final answer
    x = 85.62

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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.