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Finding the Fourth Proportional to 106.97, 147.57 and 67.67

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Solution

The fourth proportional to 106.97, 147.57 and 67.67 is: 93.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 147.57 = 67.67 : x
  2. Step 2: Convert to fraction form
    106.97/147.57 = 67.67/x
  3. Step 3: Cross multiply
    106.97x = 147.57 × 67.67
  4. Step 4: Simplify right side
    106.97x = 9,985.32
  5. Step 5: Solve for x
    x = 9,985.32/106.97
  6. Step 6: Final answer
    x = 93.35

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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.