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Finding the Fourth Proportional to 105.17, 145.17 and 72.43

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Solution

The fourth proportional to 105.17, 145.17 and 72.43 is: 99.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.17 : 145.17 = 72.43 : x
  2. Step 2: Convert to fraction form
    105.17/145.17 = 72.43/x
  3. Step 3: Cross multiply
    105.17x = 145.17 × 72.43
  4. Step 4: Simplify right side
    105.17x = 10,514.30
  5. Step 5: Solve for x
    x = 10,514.30/105.17
  6. Step 6: Final answer
    x = 99.98

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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.