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Finding the Fourth Proportional to 96.74, 133.50 and 53.08

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Solution

The fourth proportional to 96.74, 133.50 and 53.08 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.74 : 133.50 = 53.08 : x
  2. Step 2: Convert to fraction form
    96.74/133.50 = 53.08/x
  3. Step 3: Cross multiply
    96.74x = 133.50 × 53.08
  4. Step 4: Simplify right side
    96.74x = 7,085.51
  5. Step 5: Solve for x
    x = 7,085.51/96.74
  6. Step 6: Final answer
    x = 73.25

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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.