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Finding the Fourth Proportional to 108.71, 162.98 and 70.23

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Solution

The fourth proportional to 108.71, 162.98 and 70.23 is: 105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.71 : 162.98 = 70.23 : x
  2. Step 2: Convert to fraction form
    108.71/162.98 = 70.23/x
  3. Step 3: Cross multiply
    108.71x = 162.98 × 70.23
  4. Step 4: Simplify right side
    108.71x = 11,446.09
  5. Step 5: Solve for x
    x = 11,446.09/108.71
  6. Step 6: Final answer
    x = 105.29

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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.