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Finding the Fourth Proportional to 109.04, 149.48 and 107.16

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Solution

The fourth proportional to 109.04, 149.48 and 107.16 is: 146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.04 : 149.48 = 107.16 : x
  2. Step 2: Convert to fraction form
    109.04/149.48 = 107.16/x
  3. Step 3: Cross multiply
    109.04x = 149.48 × 107.16
  4. Step 4: Simplify right side
    109.04x = 16,018.28
  5. Step 5: Solve for x
    x = 16,018.28/109.04
  6. Step 6: Final answer
    x = 146.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.