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Finding the Fourth Proportional to 58.74, 81.05 and 38.02

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Solution

The fourth proportional to 58.74, 81.05 and 38.02 is: 52.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.74 : 81.05 = 38.02 : x
  2. Step 2: Convert to fraction form
    58.74/81.05 = 38.02/x
  3. Step 3: Cross multiply
    58.74x = 81.05 × 38.02
  4. Step 4: Simplify right side
    58.74x = 3,081.13
  5. Step 5: Solve for x
    x = 3,081.13/58.74
  6. Step 6: Final answer
    x = 52.45

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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.