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Finding the Fourth Proportional to 117.30, 162.93 and 113.88

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Solution

The fourth proportional to 117.30, 162.93 and 113.88 is: 158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 162.93 = 113.88 : x
  2. Step 2: Convert to fraction form
    117.30/162.93 = 113.88/x
  3. Step 3: Cross multiply
    117.30x = 162.93 × 113.88
  4. Step 4: Simplify right side
    117.30x = 18,554.47
  5. Step 5: Solve for x
    x = 18,554.47/117.30
  6. Step 6: Final answer
    x = 158.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.