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Finding the Fourth Proportional to 112.16, 154.75 and 70.77

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Solution

The fourth proportional to 112.16, 154.75 and 70.77 is: 97.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.16 : 154.75 = 70.77 : x
  2. Step 2: Convert to fraction form
    112.16/154.75 = 70.77/x
  3. Step 3: Cross multiply
    112.16x = 154.75 × 70.77
  4. Step 4: Simplify right side
    112.16x = 10,951.56
  5. Step 5: Solve for x
    x = 10,951.56/112.16
  6. Step 6: Final answer
    x = 97.64

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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.