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Finding the Fourth Proportional to 96.90, 133.71 and 53.22

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Solution

The fourth proportional to 96.90, 133.71 and 53.22 is: 73.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 133.71 = 53.22 : x
  2. Step 2: Convert to fraction form
    96.90/133.71 = 53.22/x
  3. Step 3: Cross multiply
    96.90x = 133.71 × 53.22
  4. Step 4: Simplify right side
    96.90x = 7,116.35
  5. Step 5: Solve for x
    x = 7,116.35/96.90
  6. Step 6: Final answer
    x = 73.44

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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.