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Finding the Fourth Proportional to 52.58, 78.32 and 52.34

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Solution

The fourth proportional to 52.58, 78.32 and 52.34 is: 77.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.58 : 78.32 = 52.34 : x
  2. Step 2: Convert to fraction form
    52.58/78.32 = 52.34/x
  3. Step 3: Cross multiply
    52.58x = 78.32 × 52.34
  4. Step 4: Simplify right side
    52.58x = 4,098.62
  5. Step 5: Solve for x
    x = 4,098.62/52.58
  6. Step 6: Final answer
    x = 77.96

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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.