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Finding the Fourth Proportional to 42.50, 58.59 and 32.78

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Solution

The fourth proportional to 42.50, 58.59 and 32.78 is: 45.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.50 : 58.59 = 32.78 : x
  2. Step 2: Convert to fraction form
    42.50/58.59 = 32.78/x
  3. Step 3: Cross multiply
    42.50x = 58.59 × 32.78
  4. Step 4: Simplify right side
    42.50x = 1,920.58
  5. Step 5: Solve for x
    x = 1,920.58/42.50
  6. Step 6: Final answer
    x = 45.19

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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.