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Finding the Fourth Proportional to 72.23, 99.50 and 67.50

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Solution

The fourth proportional to 72.23, 99.50 and 67.50 is: 92.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.23 : 99.50 = 67.50 : x
  2. Step 2: Convert to fraction form
    72.23/99.50 = 67.50/x
  3. Step 3: Cross multiply
    72.23x = 99.50 × 67.50
  4. Step 4: Simplify right side
    72.23x = 6,715.91
  5. Step 5: Solve for x
    x = 6,715.91/72.23
  6. Step 6: Final answer
    x = 92.99

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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.