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Finding the Fourth Proportional to 45.53, 62.71 and 42.96

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Solution

The fourth proportional to 45.53, 62.71 and 42.96 is: 59.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.53 : 62.71 = 42.96 : x
  2. Step 2: Convert to fraction form
    45.53/62.71 = 42.96/x
  3. Step 3: Cross multiply
    45.53x = 62.71 × 42.96
  4. Step 4: Simplify right side
    45.53x = 2,693.81
  5. Step 5: Solve for x
    x = 2,693.81/45.53
  6. Step 6: Final answer
    x = 59.17

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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.