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Finding the Fourth Proportional to 76.16, 114.06 and 49.11

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Solution

The fourth proportional to 76.16, 114.06 and 49.11 is: 73.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 114.06 = 49.11 : x
  2. Step 2: Convert to fraction form
    76.16/114.06 = 49.11/x
  3. Step 3: Cross multiply
    76.16x = 114.06 × 49.11
  4. Step 4: Simplify right side
    76.16x = 5,601.49
  5. Step 5: Solve for x
    x = 5,601.49/76.16
  6. Step 6: Final answer
    x = 73.55

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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.