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Finding the Fourth Proportional to 75.44, 112.96 and 70.24

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Solution

The fourth proportional to 75.44, 112.96 and 70.24 is: 105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.44 : 112.96 = 70.24 : x
  2. Step 2: Convert to fraction form
    75.44/112.96 = 70.24/x
  3. Step 3: Cross multiply
    75.44x = 112.96 × 70.24
  4. Step 4: Simplify right side
    75.44x = 7,934.31
  5. Step 5: Solve for x
    x = 7,934.31/75.44
  6. Step 6: Final answer
    x = 105.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.