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Finding the Fourth Proportional to 76.62, 114.90 and 52.58

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Solution

The fourth proportional to 76.62, 114.90 and 52.58 is: 78.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.62 : 114.90 = 52.58 : x
  2. Step 2: Convert to fraction form
    76.62/114.90 = 52.58/x
  3. Step 3: Cross multiply
    76.62x = 114.90 × 52.58
  4. Step 4: Simplify right side
    76.62x = 6,041.44
  5. Step 5: Solve for x
    x = 6,041.44/76.62
  6. Step 6: Final answer
    x = 78.85

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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.