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Finding the Fourth Proportional to 96.50, 144.76 and 53.16

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Solution

The fourth proportional to 96.50, 144.76 and 53.16 is: 79.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.50 : 144.76 = 53.16 : x
  2. Step 2: Convert to fraction form
    96.50/144.76 = 53.16/x
  3. Step 3: Cross multiply
    96.50x = 144.76 × 53.16
  4. Step 4: Simplify right side
    96.50x = 7,696.01
  5. Step 5: Solve for x
    x = 7,696.01/96.50
  6. Step 6: Final answer
    x = 79.75

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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.