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Finding the Fourth Proportional to 96.74, 133.49 and 53.07

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Solution

The fourth proportional to 96.74, 133.49 and 53.07 is: 73.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.74 : 133.49 = 53.07 : x
  2. Step 2: Convert to fraction form
    96.74/133.49 = 53.07/x
  3. Step 3: Cross multiply
    96.74x = 133.49 × 53.07
  4. Step 4: Simplify right side
    96.74x = 7,084.51
  5. Step 5: Solve for x
    x = 7,084.51/96.74
  6. Step 6: Final answer
    x = 73.24

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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.