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Finding the Fourth Proportional to 113.64, 169.62 and 102.72

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Solution

The fourth proportional to 113.64, 169.62 and 102.72 is: 153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.64 : 169.62 = 102.72 : x
  2. Step 2: Convert to fraction form
    113.64/169.62 = 102.72/x
  3. Step 3: Cross multiply
    113.64x = 169.62 × 102.72
  4. Step 4: Simplify right side
    113.64x = 17,423.37
  5. Step 5: Solve for x
    x = 17,423.37/113.64
  6. Step 6: Final answer
    x = 153.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.