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Finding the Fourth Proportional to 210.56, 315.96 and 87.14

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Solution

The fourth proportional to 210.56, 315.96 and 87.14 is: 130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.56 : 315.96 = 87.14 : x
  2. Step 2: Convert to fraction form
    210.56/315.96 = 87.14/x
  3. Step 3: Cross multiply
    210.56x = 315.96 × 87.14
  4. Step 4: Simplify right side
    210.56x = 27,532.75
  5. Step 5: Solve for x
    x = 27,532.75/210.56
  6. Step 6: Final answer
    x = 130.76

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Why These Related Problems?

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