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Finding the Fourth Proportional to 123.86, 185.70 and 75.72

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Solution

The fourth proportional to 123.86, 185.70 and 75.72 is: 113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 185.70 = 75.72 : x
  2. Step 2: Convert to fraction form
    123.86/185.70 = 75.72/x
  3. Step 3: Cross multiply
    123.86x = 185.70 × 75.72
  4. Step 4: Simplify right side
    123.86x = 14,061.20
  5. Step 5: Solve for x
    x = 14,061.20/123.86
  6. Step 6: Final answer
    x = 113.52

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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.