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Finding the Fourth Proportional to 52.58, 79.06 and 52.46

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Solution

The fourth proportional to 52.58, 79.06 and 52.46 is: 78.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.58 : 79.06 = 52.46 : x
  2. Step 2: Convert to fraction form
    52.58/79.06 = 52.46/x
  3. Step 3: Cross multiply
    52.58x = 79.06 × 52.46
  4. Step 4: Simplify right side
    52.58x = 4,147.49
  5. Step 5: Solve for x
    x = 4,147.49/52.58
  6. Step 6: Final answer
    x = 78.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.