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Finding the Fourth Proportional to 96.60, 144.80 and 53.20

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Solution

The fourth proportional to 96.60, 144.80 and 53.20 is: 79.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.60 : 144.80 = 53.20 : x
  2. Step 2: Convert to fraction form
    96.60/144.80 = 53.20/x
  3. Step 3: Cross multiply
    96.60x = 144.80 × 53.20
  4. Step 4: Simplify right side
    96.60x = 7,703.36
  5. Step 5: Solve for x
    x = 7,703.36/96.60
  6. Step 6: Final answer
    x = 79.74

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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.