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Finding the Fourth Proportional to 117.70, 162.16 and 106.78

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Solution

The fourth proportional to 117.70, 162.16 and 106.78 is: 147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.70 : 162.16 = 106.78 : x
  2. Step 2: Convert to fraction form
    117.70/162.16 = 106.78/x
  3. Step 3: Cross multiply
    117.70x = 162.16 × 106.78
  4. Step 4: Simplify right side
    117.70x = 17,314.10
  5. Step 5: Solve for x
    x = 17,314.10/117.70
  6. Step 6: Final answer
    x = 147.11

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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.