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Finding the Fourth Proportional to 125.74, 188.20 and 95.10

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Solution

The fourth proportional to 125.74, 188.20 and 95.10 is: 142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.74 : 188.20 = 95.10 : x
  2. Step 2: Convert to fraction form
    125.74/188.20 = 95.10/x
  3. Step 3: Cross multiply
    125.74x = 188.20 × 95.10
  4. Step 4: Simplify right side
    125.74x = 17,897.82
  5. Step 5: Solve for x
    x = 17,897.82/125.74
  6. Step 6: Final answer
    x = 142.34

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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.