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Finding the Fourth Proportional to 52.36, 77.90 and 52.18

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Solution

The fourth proportional to 52.36, 77.90 and 52.18 is: 77.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.36 : 77.90 = 52.18 : x
  2. Step 2: Convert to fraction form
    52.36/77.90 = 52.18/x
  3. Step 3: Cross multiply
    52.36x = 77.90 × 52.18
  4. Step 4: Simplify right side
    52.36x = 4,064.82
  5. Step 5: Solve for x
    x = 4,064.82/52.36
  6. Step 6: Final answer
    x = 77.63

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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.