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Finding the Fourth Proportional to 125.56, 188.38 and 64.54

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Solution

The fourth proportional to 125.56, 188.38 and 64.54 is: 96.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.56 : 188.38 = 64.54 : x
  2. Step 2: Convert to fraction form
    125.56/188.38 = 64.54/x
  3. Step 3: Cross multiply
    125.56x = 188.38 × 64.54
  4. Step 4: Simplify right side
    125.56x = 12,158.05
  5. Step 5: Solve for x
    x = 12,158.05/125.56
  6. Step 6: Final answer
    x = 96.83

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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.