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Finding the Fourth Proportional to 87.37, 130.30 and 73.74

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Solution

The fourth proportional to 87.37, 130.30 and 73.74 is: 109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.37 : 130.30 = 73.74 : x
  2. Step 2: Convert to fraction form
    87.37/130.30 = 73.74/x
  3. Step 3: Cross multiply
    87.37x = 130.30 × 73.74
  4. Step 4: Simplify right side
    87.37x = 9,608.71
  5. Step 5: Solve for x
    x = 9,608.71/87.37
  6. Step 6: Final answer
    x = 109.98

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Why These Related Problems?

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