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Finding the Fourth Proportional to 96.70, 145.05 and 88.30

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Solution

The fourth proportional to 96.70, 145.05 and 88.30 is: 132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.70 : 145.05 = 88.30 : x
  2. Step 2: Convert to fraction form
    96.70/145.05 = 88.30/x
  3. Step 3: Cross multiply
    96.70x = 145.05 × 88.30
  4. Step 4: Simplify right side
    96.70x = 12,807.92
  5. Step 5: Solve for x
    x = 12,807.92/96.70
  6. Step 6: Final answer
    x = 132.45

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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.