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Finding the Fourth Proportional to 95.23, 142.14 and 87.11

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Solution

The fourth proportional to 95.23, 142.14 and 87.11 is: 130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.23 : 142.14 = 87.11 : x
  2. Step 2: Convert to fraction form
    95.23/142.14 = 87.11/x
  3. Step 3: Cross multiply
    95.23x = 142.14 × 87.11
  4. Step 4: Simplify right side
    95.23x = 12,381.85
  5. Step 5: Solve for x
    x = 12,381.85/95.23
  6. Step 6: Final answer
    x = 130.03

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