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Finding the Fourth Proportional to 42.76, 58.65 and 41.40

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Solution

The fourth proportional to 42.76, 58.65 and 41.40 is: 56.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.76 : 58.65 = 41.40 : x
  2. Step 2: Convert to fraction form
    42.76/58.65 = 41.40/x
  3. Step 3: Cross multiply
    42.76x = 58.65 × 41.40
  4. Step 4: Simplify right side
    42.76x = 2,428.11
  5. Step 5: Solve for x
    x = 2,428.11/42.76
  6. Step 6: Final answer
    x = 56.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.