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Finding the Fourth Proportional to 148.53, 204.86 and 107.22

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Solution

The fourth proportional to 148.53, 204.86 and 107.22 is: 147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.53 : 204.86 = 107.22 : x
  2. Step 2: Convert to fraction form
    148.53/204.86 = 107.22/x
  3. Step 3: Cross multiply
    148.53x = 204.86 × 107.22
  4. Step 4: Simplify right side
    148.53x = 21,966.13
  5. Step 5: Solve for x
    x = 21,966.13/148.53
  6. Step 6: Final answer
    x = 147.89

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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.