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Finding the Fourth Proportional to 96.71, 133.46 and 53.05

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Solution

The fourth proportional to 96.71, 133.46 and 53.05 is: 73.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.71 : 133.46 = 53.05 : x
  2. Step 2: Convert to fraction form
    96.71/133.46 = 53.05/x
  3. Step 3: Cross multiply
    96.71x = 133.46 × 53.05
  4. Step 4: Simplify right side
    96.71x = 7,079.45
  5. Step 5: Solve for x
    x = 7,079.45/96.71
  6. Step 6: Final answer
    x = 73.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.