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Finding the Fourth Proportional to 96.78, 144.26 and 88.98

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Solution

The fourth proportional to 96.78, 144.26 and 88.98 is: 132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 144.26 = 88.98 : x
  2. Step 2: Convert to fraction form
    96.78/144.26 = 88.98/x
  3. Step 3: Cross multiply
    96.78x = 144.26 × 88.98
  4. Step 4: Simplify right side
    96.78x = 12,835.81
  5. Step 5: Solve for x
    x = 12,835.81/96.78
  6. Step 6: Final answer
    x = 132.63

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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.