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Finding the Fourth Proportional to 113.18, 170.62 and 105.74

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Solution

The fourth proportional to 113.18, 170.62 and 105.74 is: 159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.18 : 170.62 = 105.74 : x
  2. Step 2: Convert to fraction form
    113.18/170.62 = 105.74/x
  3. Step 3: Cross multiply
    113.18x = 170.62 × 105.74
  4. Step 4: Simplify right side
    113.18x = 18,041.36
  5. Step 5: Solve for x
    x = 18,041.36/113.18
  6. Step 6: Final answer
    x = 159.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.