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Finding the Fourth Proportional to 76.79, 114.58 and 68.15

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Solution

The fourth proportional to 76.79, 114.58 and 68.15 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.79 : 114.58 = 68.15 : x
  2. Step 2: Convert to fraction form
    76.79/114.58 = 68.15/x
  3. Step 3: Cross multiply
    76.79x = 114.58 × 68.15
  4. Step 4: Simplify right side
    76.79x = 7,808.63
  5. Step 5: Solve for x
    x = 7,808.63/76.79
  6. Step 6: Final answer
    x = 101.69

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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.