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Finding the Fourth Proportional to 42.45, 58.56 and 30.17

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Solution

The fourth proportional to 42.45, 58.56 and 30.17 is: 41.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.45 : 58.56 = 30.17 : x
  2. Step 2: Convert to fraction form
    42.45/58.56 = 30.17/x
  3. Step 3: Cross multiply
    42.45x = 58.56 × 30.17
  4. Step 4: Simplify right side
    42.45x = 1,766.46
  5. Step 5: Solve for x
    x = 1,766.46/42.45
  6. Step 6: Final answer
    x = 41.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.