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Finding the Fourth Proportional to 58.52, 87.81 and 22.47

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Solution

The fourth proportional to 58.52, 87.81 and 22.47 is: 33.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.52 : 87.81 = 22.47 : x
  2. Step 2: Convert to fraction form
    58.52/87.81 = 22.47/x
  3. Step 3: Cross multiply
    58.52x = 87.81 × 22.47
  4. Step 4: Simplify right side
    58.52x = 1,973.09
  5. Step 5: Solve for x
    x = 1,973.09/58.52
  6. Step 6: Final answer
    x = 33.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.