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Finding the Fourth Proportional to 76.16, 114.07 and 49.02

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Solution

The fourth proportional to 76.16, 114.07 and 49.02 is: 73.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 114.07 = 49.02 : x
  2. Step 2: Convert to fraction form
    76.16/114.07 = 49.02/x
  3. Step 3: Cross multiply
    76.16x = 114.07 × 49.02
  4. Step 4: Simplify right side
    76.16x = 5,591.71
  5. Step 5: Solve for x
    x = 5,591.71/76.16
  6. Step 6: Final answer
    x = 73.42

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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.