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Finding the Fourth Proportional to 42.65, 58.77 and 31.72

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Solution

The fourth proportional to 42.65, 58.77 and 31.72 is: 43.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.65 : 58.77 = 31.72 : x
  2. Step 2: Convert to fraction form
    42.65/58.77 = 31.72/x
  3. Step 3: Cross multiply
    42.65x = 58.77 × 31.72
  4. Step 4: Simplify right side
    42.65x = 1,864.18
  5. Step 5: Solve for x
    x = 1,864.18/42.65
  6. Step 6: Final answer
    x = 43.71

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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.