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Finding the Fourth Proportional to 87.35, 130.77 and 56.54

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Solution

The fourth proportional to 87.35, 130.77 and 56.54 is: 84.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.35 : 130.77 = 56.54 : x
  2. Step 2: Convert to fraction form
    87.35/130.77 = 56.54/x
  3. Step 3: Cross multiply
    87.35x = 130.77 × 56.54
  4. Step 4: Simplify right side
    87.35x = 7,393.74
  5. Step 5: Solve for x
    x = 7,393.74/87.35
  6. Step 6: Final answer
    x = 84.64

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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.