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Finding the Fourth Proportional to 117.16, 176.42 and 102.12

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Solution

The fourth proportional to 117.16, 176.42 and 102.12 is: 153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.16 : 176.42 = 102.12 : x
  2. Step 2: Convert to fraction form
    117.16/176.42 = 102.12/x
  3. Step 3: Cross multiply
    117.16x = 176.42 × 102.12
  4. Step 4: Simplify right side
    117.16x = 18,015.60
  5. Step 5: Solve for x
    x = 18,015.60/117.16
  6. Step 6: Final answer
    x = 153.77

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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.