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Finding the Fourth Proportional to 125.40, 187.92 and 114.60

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Solution

The fourth proportional to 125.40, 187.92 and 114.60 is: 171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.40 : 187.92 = 114.60 : x
  2. Step 2: Convert to fraction form
    125.40/187.92 = 114.60/x
  3. Step 3: Cross multiply
    125.40x = 187.92 × 114.60
  4. Step 4: Simplify right side
    125.40x = 21,535.63
  5. Step 5: Solve for x
    x = 21,535.63/125.40
  6. Step 6: Final answer
    x = 171.74

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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.