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Finding the Fourth Proportional to 105.46, 145.56 and 72.28

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Solution

The fourth proportional to 105.46, 145.56 and 72.28 is: 99.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.46 : 145.56 = 72.28 : x
  2. Step 2: Convert to fraction form
    105.46/145.56 = 72.28/x
  3. Step 3: Cross multiply
    105.46x = 145.56 × 72.28
  4. Step 4: Simplify right side
    105.46x = 10,521.08
  5. Step 5: Solve for x
    x = 10,521.08/105.46
  6. Step 6: Final answer
    x = 99.76

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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.