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Finding the Fourth Proportional to 96.02, 144 and 52.70

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Solution

The fourth proportional to 96.02, 144 and 52.70 is: 79.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 144 = 52.70 : x
  2. Step 2: Convert to fraction form
    96.02/144 = 52.70/x
  3. Step 3: Cross multiply
    96.02x = 144 × 52.70
  4. Step 4: Simplify right side
    96.02x = 7,588.80
  5. Step 5: Solve for x
    x = 7,588.80/96.02
  6. Step 6: Final answer
    x = 79.03

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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.