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Finding the Fourth Proportional to 109.28, 162.88 and 106.98

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Solution

The fourth proportional to 109.28, 162.88 and 106.98 is: 159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.28 : 162.88 = 106.98 : x
  2. Step 2: Convert to fraction form
    109.28/162.88 = 106.98/x
  3. Step 3: Cross multiply
    109.28x = 162.88 × 106.98
  4. Step 4: Simplify right side
    109.28x = 17,424.90
  5. Step 5: Solve for x
    x = 17,424.90/109.28
  6. Step 6: Final answer
    x = 159.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.