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Finding the Fourth Proportional to 125.60, 187.62 and 106.25

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Solution

The fourth proportional to 125.60, 187.62 and 106.25 is: 158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.60 : 187.62 = 106.25 : x
  2. Step 2: Convert to fraction form
    125.60/187.62 = 106.25/x
  3. Step 3: Cross multiply
    125.60x = 187.62 × 106.25
  4. Step 4: Simplify right side
    125.60x = 19,933.29
  5. Step 5: Solve for x
    x = 19,933.29/125.60
  6. Step 6: Final answer
    x = 158.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.