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Finding the Fourth Proportional to 120.02, 165.70 and 92.53

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Solution

The fourth proportional to 120.02, 165.70 and 92.53 is: 127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.02 : 165.70 = 92.53 : x
  2. Step 2: Convert to fraction form
    120.02/165.70 = 92.53/x
  3. Step 3: Cross multiply
    120.02x = 165.70 × 92.53
  4. Step 4: Simplify right side
    120.02x = 15,332.22
  5. Step 5: Solve for x
    x = 15,332.22/120.02
  6. Step 6: Final answer
    x = 127.75

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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.