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Finding the Fourth Proportional to 72.23, 99.54 and 51.46

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Solution

The fourth proportional to 72.23, 99.54 and 51.46 is: 70.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.23 : 99.54 = 51.46 : x
  2. Step 2: Convert to fraction form
    72.23/99.54 = 51.46/x
  3. Step 3: Cross multiply
    72.23x = 99.54 × 51.46
  4. Step 4: Simplify right side
    72.23x = 5,122.08
  5. Step 5: Solve for x
    x = 5,122.08/72.23
  6. Step 6: Final answer
    x = 70.92

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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.