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Finding the Fourth Proportional to 76.91, 106.16 and 52.02

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Solution

The fourth proportional to 76.91, 106.16 and 52.02 is: 71.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.91 : 106.16 = 52.02 : x
  2. Step 2: Convert to fraction form
    76.91/106.16 = 52.02/x
  3. Step 3: Cross multiply
    76.91x = 106.16 × 52.02
  4. Step 4: Simplify right side
    76.91x = 5,522.18
  5. Step 5: Solve for x
    x = 5,522.18/76.91
  6. Step 6: Final answer
    x = 71.81

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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.