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Finding the Fourth Proportional to 125.68, 188.58 and 74.38

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Solution

The fourth proportional to 125.68, 188.58 and 74.38 is: 111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.68 : 188.58 = 74.38 : x
  2. Step 2: Convert to fraction form
    125.68/188.58 = 74.38/x
  3. Step 3: Cross multiply
    125.68x = 188.58 × 74.38
  4. Step 4: Simplify right side
    125.68x = 14,026.58
  5. Step 5: Solve for x
    x = 14,026.58/125.68
  6. Step 6: Final answer
    x = 111.61

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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.