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Finding the Fourth Proportional to 125.10, 187.45 and 64.14

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Solution

The fourth proportional to 125.10, 187.45 and 64.14 is: 96.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.10 : 187.45 = 64.14 : x
  2. Step 2: Convert to fraction form
    125.10/187.45 = 64.14/x
  3. Step 3: Cross multiply
    125.10x = 187.45 × 64.14
  4. Step 4: Simplify right side
    125.10x = 12,023.04
  5. Step 5: Solve for x
    x = 12,023.04/125.10
  6. Step 6: Final answer
    x = 96.11

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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.