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Finding the Fourth Proportional to 140.89, 211.35 and 87.16

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Solution

The fourth proportional to 140.89, 211.35 and 87.16 is: 130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.89 : 211.35 = 87.16 : x
  2. Step 2: Convert to fraction form
    140.89/211.35 = 87.16/x
  3. Step 3: Cross multiply
    140.89x = 211.35 × 87.16
  4. Step 4: Simplify right side
    140.89x = 18,421.27
  5. Step 5: Solve for x
    x = 18,421.27/140.89
  6. Step 6: Final answer
    x = 130.75

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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.