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Finding the Fourth Proportional to 76.48, 114.78 and 49.42

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Solution

The fourth proportional to 76.48, 114.78 and 49.42 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.48 : 114.78 = 49.42 : x
  2. Step 2: Convert to fraction form
    76.48/114.78 = 49.42/x
  3. Step 3: Cross multiply
    76.48x = 114.78 × 49.42
  4. Step 4: Simplify right side
    76.48x = 5,672.43
  5. Step 5: Solve for x
    x = 5,672.43/76.48
  6. Step 6: Final answer
    x = 74.17

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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.