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Finding the Fourth Proportional to 58.74, 81.40 and 57.66

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Solution

The fourth proportional to 58.74, 81.40 and 57.66 is: 79.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.74 : 81.40 = 57.66 : x
  2. Step 2: Convert to fraction form
    58.74/81.40 = 57.66/x
  3. Step 3: Cross multiply
    58.74x = 81.40 × 57.66
  4. Step 4: Simplify right side
    58.74x = 4,693.52
  5. Step 5: Solve for x
    x = 4,693.52/58.74
  6. Step 6: Final answer
    x = 79.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.