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Finding the Fourth Proportional to 42.61, 58.65 and 32.23

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Solution

The fourth proportional to 42.61, 58.65 and 32.23 is: 44.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.61 : 58.65 = 32.23 : x
  2. Step 2: Convert to fraction form
    42.61/58.65 = 32.23/x
  3. Step 3: Cross multiply
    42.61x = 58.65 × 32.23
  4. Step 4: Simplify right side
    42.61x = 1,890.29
  5. Step 5: Solve for x
    x = 1,890.29/42.61
  6. Step 6: Final answer
    x = 44.36

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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.