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Finding the Fourth Proportional to 107.02, 161.38 and 105.57

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Solution

The fourth proportional to 107.02, 161.38 and 105.57 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.02 : 161.38 = 105.57 : x
  2. Step 2: Convert to fraction form
    107.02/161.38 = 105.57/x
  3. Step 3: Cross multiply
    107.02x = 161.38 × 105.57
  4. Step 4: Simplify right side
    107.02x = 17,036.89
  5. Step 5: Solve for x
    x = 17,036.89/107.02
  6. Step 6: Final answer
    x = 159.20

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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.