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Finding the Fourth Proportional to 71.67, 99.00 and 53.33

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Solution

The fourth proportional to 71.67, 99.00 and 53.33 is: 73.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.67 : 99.00 = 53.33 : x
  2. Step 2: Convert to fraction form
    71.67/99.00 = 53.33/x
  3. Step 3: Cross multiply
    71.67x = 99.00 × 53.33
  4. Step 4: Simplify right side
    71.67x = 5,279.86
  5. Step 5: Solve for x
    x = 5,279.86/71.67
  6. Step 6: Final answer
    x = 73.67

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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.