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Finding the Fourth Proportional to 52.11, 78.03 and 42.53

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Solution

The fourth proportional to 52.11, 78.03 and 42.53 is: 63.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.11 : 78.03 = 42.53 : x
  2. Step 2: Convert to fraction form
    52.11/78.03 = 42.53/x
  3. Step 3: Cross multiply
    52.11x = 78.03 × 42.53
  4. Step 4: Simplify right side
    52.11x = 3,318.23
  5. Step 5: Solve for x
    x = 3,318.23/52.11
  6. Step 6: Final answer
    x = 63.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.