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Finding the Fourth Proportional to 125.12, 188.60 and 116.78

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Solution

The fourth proportional to 125.12, 188.60 and 116.78 is: 176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.12 : 188.60 = 116.78 : x
  2. Step 2: Convert to fraction form
    125.12/188.60 = 116.78/x
  3. Step 3: Cross multiply
    125.12x = 188.60 × 116.78
  4. Step 4: Simplify right side
    125.12x = 22,023.18
  5. Step 5: Solve for x
    x = 22,023.18/125.12
  6. Step 6: Final answer
    x = 176.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.