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Finding the Fourth Proportional to 89.47, 134.26 and 76.78

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Solution

The fourth proportional to 89.47, 134.26 and 76.78 is: 115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.47 : 134.26 = 76.78 : x
  2. Step 2: Convert to fraction form
    89.47/134.26 = 76.78/x
  3. Step 3: Cross multiply
    89.47x = 134.26 × 76.78
  4. Step 4: Simplify right side
    89.47x = 10,307.81
  5. Step 5: Solve for x
    x = 10,307.81/89.47
  6. Step 6: Final answer
    x = 115.22

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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.