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Finding the Fourth Proportional to 72.02, 99.33 and 53.49

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Solution

The fourth proportional to 72.02, 99.33 and 53.49 is: 73.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.02 : 99.33 = 53.49 : x
  2. Step 2: Convert to fraction form
    72.02/99.33 = 53.49/x
  3. Step 3: Cross multiply
    72.02x = 99.33 × 53.49
  4. Step 4: Simplify right side
    72.02x = 5,313.33
  5. Step 5: Solve for x
    x = 5,313.33/72.02
  6. Step 6: Final answer
    x = 73.77

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