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Finding the Fourth Proportional to 58.60, 80.32 and 57.76

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Solution

The fourth proportional to 58.60, 80.32 and 57.76 is: 79.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.60 : 80.32 = 57.76 : x
  2. Step 2: Convert to fraction form
    58.60/80.32 = 57.76/x
  3. Step 3: Cross multiply
    58.60x = 80.32 × 57.76
  4. Step 4: Simplify right side
    58.60x = 4,639.28
  5. Step 5: Solve for x
    x = 4,639.28/58.60
  6. Step 6: Final answer
    x = 79.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.