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Finding the Fourth Proportional to 125.96, 188.96 and 39.30

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Solution

The fourth proportional to 125.96, 188.96 and 39.30 is: 58.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.96 : 188.96 = 39.30 : x
  2. Step 2: Convert to fraction form
    125.96/188.96 = 39.30/x
  3. Step 3: Cross multiply
    125.96x = 188.96 × 39.30
  4. Step 4: Simplify right side
    125.96x = 7,426.51
  5. Step 5: Solve for x
    x = 7,426.51/125.96
  6. Step 6: Final answer
    x = 58.96

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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.