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Finding the Fourth Proportional to 112.05, 154.64 and 70.67

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Solution

The fourth proportional to 112.05, 154.64 and 70.67 is: 97.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.05 : 154.64 = 70.67 : x
  2. Step 2: Convert to fraction form
    112.05/154.64 = 70.67/x
  3. Step 3: Cross multiply
    112.05x = 154.64 × 70.67
  4. Step 4: Simplify right side
    112.05x = 10,927.28
  5. Step 5: Solve for x
    x = 10,927.28/112.05
  6. Step 6: Final answer
    x = 97.52

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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.