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Finding the Fourth Proportional to 71.81, 99.02 and 53.33

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Solution

The fourth proportional to 71.81, 99.02 and 53.33 is: 73.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.81 : 99.02 = 53.33 : x
  2. Step 2: Convert to fraction form
    71.81/99.02 = 53.33/x
  3. Step 3: Cross multiply
    71.81x = 99.02 × 53.33
  4. Step 4: Simplify right side
    71.81x = 5,280.47
  5. Step 5: Solve for x
    x = 5,280.47/71.81
  6. Step 6: Final answer
    x = 73.53

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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.