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Finding the Fourth Proportional to 87.34, 130.98 and 70.18

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Solution

The fourth proportional to 87.34, 130.98 and 70.18 is: 105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.34 : 130.98 = 70.18 : x
  2. Step 2: Convert to fraction form
    87.34/130.98 = 70.18/x
  3. Step 3: Cross multiply
    87.34x = 130.98 × 70.18
  4. Step 4: Simplify right side
    87.34x = 9,192.18
  5. Step 5: Solve for x
    x = 9,192.18/87.34
  6. Step 6: Final answer
    x = 105.25

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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.