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Finding the Fourth Proportional to 125.60, 187.57 and 105.32

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Solution

The fourth proportional to 125.60, 187.57 and 105.32 is: 157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.60 : 187.57 = 105.32 : x
  2. Step 2: Convert to fraction form
    125.60/187.57 = 105.32/x
  3. Step 3: Cross multiply
    125.60x = 187.57 × 105.32
  4. Step 4: Simplify right side
    125.60x = 19,754.87
  5. Step 5: Solve for x
    x = 19,754.87/125.60
  6. Step 6: Final answer
    x = 157.28

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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.