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Finding the Fourth Proportional to 96.70, 132.65 and 88.60

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Solution

The fourth proportional to 96.70, 132.65 and 88.60 is: 121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.70 : 132.65 = 88.60 : x
  2. Step 2: Convert to fraction form
    96.70/132.65 = 88.60/x
  3. Step 3: Cross multiply
    96.70x = 132.65 × 88.60
  4. Step 4: Simplify right side
    96.70x = 11,752.79
  5. Step 5: Solve for x
    x = 11,752.79/96.70
  6. Step 6: Final answer
    x = 121.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.