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Finding the Fourth Proportional to 120.48, 165.06 and 116.16

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Solution

The fourth proportional to 120.48, 165.06 and 116.16 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.48 : 165.06 = 116.16 : x
  2. Step 2: Convert to fraction form
    120.48/165.06 = 116.16/x
  3. Step 3: Cross multiply
    120.48x = 165.06 × 116.16
  4. Step 4: Simplify right side
    120.48x = 19,173.37
  5. Step 5: Solve for x
    x = 19,173.37/120.48
  6. Step 6: Final answer
    x = 159.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.