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Finding the Fourth Proportional to 76.69, 114.37 and 65.15

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Solution

The fourth proportional to 76.69, 114.37 and 65.15 is: 97.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.69 : 114.37 = 65.15 : x
  2. Step 2: Convert to fraction form
    76.69/114.37 = 65.15/x
  3. Step 3: Cross multiply
    76.69x = 114.37 × 65.15
  4. Step 4: Simplify right side
    76.69x = 7,451.21
  5. Step 5: Solve for x
    x = 7,451.21/76.69
  6. Step 6: Final answer
    x = 97.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.