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Finding the Fourth Proportional to 112.16, 154.85 and 70.16

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Solution

The fourth proportional to 112.16, 154.85 and 70.16 is: 96.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.16 : 154.85 = 70.16 : x
  2. Step 2: Convert to fraction form
    112.16/154.85 = 70.16/x
  3. Step 3: Cross multiply
    112.16x = 154.85 × 70.16
  4. Step 4: Simplify right side
    112.16x = 10,863.99
  5. Step 5: Solve for x
    x = 10,863.99/112.16
  6. Step 6: Final answer
    x = 96.87

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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.