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Finding the Fourth Proportional to 109.06, 150.49 and 65.40

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Solution

The fourth proportional to 109.06, 150.49 and 65.40 is: 90.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.06 : 150.49 = 65.40 : x
  2. Step 2: Convert to fraction form
    109.06/150.49 = 65.40/x
  3. Step 3: Cross multiply
    109.06x = 150.49 × 65.40
  4. Step 4: Simplify right side
    109.06x = 9,842.05
  5. Step 5: Solve for x
    x = 9,842.05/109.06
  6. Step 6: Final answer
    x = 90.24

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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.