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Finding the Fourth Proportional to 148.04, 204 and 109.16

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Solution

The fourth proportional to 148.04, 204 and 109.16 is: 150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.04 : 204 = 109.16 : x
  2. Step 2: Convert to fraction form
    148.04/204 = 109.16/x
  3. Step 3: Cross multiply
    148.04x = 204 × 109.16
  4. Step 4: Simplify right side
    148.04x = 22,268.64
  5. Step 5: Solve for x
    x = 22,268.64/148.04
  6. Step 6: Final answer
    x = 150.42

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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.