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Finding the Fourth Proportional to 52.00, 71.64 and 45.11

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Solution

The fourth proportional to 52.00, 71.64 and 45.11 is: 62.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.00 : 71.64 = 45.11 : x
  2. Step 2: Convert to fraction form
    52.00/71.64 = 45.11/x
  3. Step 3: Cross multiply
    52.00x = 71.64 × 45.11
  4. Step 4: Simplify right side
    52.00x = 3,231.86
  5. Step 5: Solve for x
    x = 3,231.86/52.00
  6. Step 6: Final answer
    x = 62.15

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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.