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Finding the Fourth Proportional to 109.80, 151.70 and 106

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Solution

The fourth proportional to 109.80, 151.70 and 106 is: 146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 151.70 = 106 : x
  2. Step 2: Convert to fraction form
    109.80/151.70 = 106/x
  3. Step 3: Cross multiply
    109.80x = 151.70 × 106
  4. Step 4: Simplify right side
    109.80x = 16,080.20
  5. Step 5: Solve for x
    x = 16,080.20/109.80
  6. Step 6: Final answer
    x = 146.45

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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.