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Finding the Fourth Proportional to 109.35, 162.90 and 103.46

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Solution

The fourth proportional to 109.35, 162.90 and 103.46 is: 154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.35 : 162.90 = 103.46 : x
  2. Step 2: Convert to fraction form
    109.35/162.90 = 103.46/x
  3. Step 3: Cross multiply
    109.35x = 162.90 × 103.46
  4. Step 4: Simplify right side
    109.35x = 16,852.82
  5. Step 5: Solve for x
    x = 16,852.82/109.35
  6. Step 6: Final answer
    x = 154.12

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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.