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Finding the Fourth Proportional to 52.17, 77.83 and 46.36

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Solution

The fourth proportional to 52.17, 77.83 and 46.36 is: 69.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.17 : 77.83 = 46.36 : x
  2. Step 2: Convert to fraction form
    52.17/77.83 = 46.36/x
  3. Step 3: Cross multiply
    52.17x = 77.83 × 46.36
  4. Step 4: Simplify right side
    52.17x = 3,608.20
  5. Step 5: Solve for x
    x = 3,608.20/52.17
  6. Step 6: Final answer
    x = 69.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.