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Finding the Fourth Proportional to 58.76, 81.16 and 48.97

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Solution

The fourth proportional to 58.76, 81.16 and 48.97 is: 67.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.76 : 81.16 = 48.97 : x
  2. Step 2: Convert to fraction form
    58.76/81.16 = 48.97/x
  3. Step 3: Cross multiply
    58.76x = 81.16 × 48.97
  4. Step 4: Simplify right side
    58.76x = 3,974.41
  5. Step 5: Solve for x
    x = 3,974.41/58.76
  6. Step 6: Final answer
    x = 67.64

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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.