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Finding the Fourth Proportional to 120.07, 166.36 and 117.10

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Solution

The fourth proportional to 120.07, 166.36 and 117.10 is: 162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.07 : 166.36 = 117.10 : x
  2. Step 2: Convert to fraction form
    120.07/166.36 = 117.10/x
  3. Step 3: Cross multiply
    120.07x = 166.36 × 117.10
  4. Step 4: Simplify right side
    120.07x = 19,480.76
  5. Step 5: Solve for x
    x = 19,480.76/120.07
  6. Step 6: Final answer
    x = 162.24

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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.