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Finding the Fourth Proportional to 119.99, 165.57 and 69.51

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Solution

The fourth proportional to 119.99, 165.57 and 69.51 is: 95.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.99 : 165.57 = 69.51 : x
  2. Step 2: Convert to fraction form
    119.99/165.57 = 69.51/x
  3. Step 3: Cross multiply
    119.99x = 165.57 × 69.51
  4. Step 4: Simplify right side
    119.99x = 11,508.77
  5. Step 5: Solve for x
    x = 11,508.77/119.99
  6. Step 6: Final answer
    x = 95.92

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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.