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Finding the Fourth Proportional to 58.12, 80.16 and 42.56

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Solution

The fourth proportional to 58.12, 80.16 and 42.56 is: 58.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.12 : 80.16 = 42.56 : x
  2. Step 2: Convert to fraction form
    58.12/80.16 = 42.56/x
  3. Step 3: Cross multiply
    58.12x = 80.16 × 42.56
  4. Step 4: Simplify right side
    58.12x = 3,411.61
  5. Step 5: Solve for x
    x = 3,411.61/58.12
  6. Step 6: Final answer
    x = 58.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.