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Finding the Fourth Proportional to 119.62, 165.11 and 70.53

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Solution

The fourth proportional to 119.62, 165.11 and 70.53 is: 97.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.62 : 165.11 = 70.53 : x
  2. Step 2: Convert to fraction form
    119.62/165.11 = 70.53/x
  3. Step 3: Cross multiply
    119.62x = 165.11 × 70.53
  4. Step 4: Simplify right side
    119.62x = 11,644.70
  5. Step 5: Solve for x
    x = 11,644.70/119.62
  6. Step 6: Final answer
    x = 97.35

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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.