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Finding the Fourth Proportional to 52.16, 71.93 and 39.69

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Solution

The fourth proportional to 52.16, 71.93 and 39.69 is: 54.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.16 : 71.93 = 39.69 : x
  2. Step 2: Convert to fraction form
    52.16/71.93 = 39.69/x
  3. Step 3: Cross multiply
    52.16x = 71.93 × 39.69
  4. Step 4: Simplify right side
    52.16x = 2,855.00
  5. Step 5: Solve for x
    x = 2,855.00/52.16
  6. Step 6: Final answer
    x = 54.74

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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.