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Finding the Fourth Proportional to 117.98, 162.68 and 102.30

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Solution

The fourth proportional to 117.98, 162.68 and 102.30 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.98 : 162.68 = 102.30 : x
  2. Step 2: Convert to fraction form
    117.98/162.68 = 102.30/x
  3. Step 3: Cross multiply
    117.98x = 162.68 × 102.30
  4. Step 4: Simplify right side
    117.98x = 16,641.76
  5. Step 5: Solve for x
    x = 16,641.76/117.98
  6. Step 6: Final answer
    x = 141.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.