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Finding the Fourth Proportional to 52.46, 78.20 and 52.38

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Solution

The fourth proportional to 52.46, 78.20 and 52.38 is: 78.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.46 : 78.20 = 52.38 : x
  2. Step 2: Convert to fraction form
    52.46/78.20 = 52.38/x
  3. Step 3: Cross multiply
    52.46x = 78.20 × 52.38
  4. Step 4: Simplify right side
    52.46x = 4,095.85
  5. Step 5: Solve for x
    x = 4,095.85/52.46
  6. Step 6: Final answer
    x = 78.08

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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.