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Finding the Fourth Proportional to 112.14, 154.64 and 70.70

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Solution

The fourth proportional to 112.14, 154.64 and 70.70 is: 97.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.14 : 154.64 = 70.70 : x
  2. Step 2: Convert to fraction form
    112.14/154.64 = 70.70/x
  3. Step 3: Cross multiply
    112.14x = 154.64 × 70.70
  4. Step 4: Simplify right side
    112.14x = 10,931.92
  5. Step 5: Solve for x
    x = 10,931.92/112.14
  6. Step 6: Final answer
    x = 97.48

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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.