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Finding the Fourth Proportional to 125.40, 187.82 and 102.52

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Solution

The fourth proportional to 125.40, 187.82 and 102.52 is: 153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.40 : 187.82 = 102.52 : x
  2. Step 2: Convert to fraction form
    125.40/187.82 = 102.52/x
  3. Step 3: Cross multiply
    125.40x = 187.82 × 102.52
  4. Step 4: Simplify right side
    125.40x = 19,255.31
  5. Step 5: Solve for x
    x = 19,255.31/125.40
  6. Step 6: Final answer
    x = 153.55

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