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Finding the Fourth Proportional to 125.64, 188.64 and 85.14

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Solution

The fourth proportional to 125.64, 188.64 and 85.14 is: 127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.64 : 188.64 = 85.14 : x
  2. Step 2: Convert to fraction form
    125.64/188.64 = 85.14/x
  3. Step 3: Cross multiply
    125.64x = 188.64 × 85.14
  4. Step 4: Simplify right side
    125.64x = 16,060.81
  5. Step 5: Solve for x
    x = 16,060.81/125.64
  6. Step 6: Final answer
    x = 127.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.