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Finding the Fourth Proportional to 148.04, 204.23 and 101.48

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Solution

The fourth proportional to 148.04, 204.23 and 101.48 is: 140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.04 : 204.23 = 101.48 : x
  2. Step 2: Convert to fraction form
    148.04/204.23 = 101.48/x
  3. Step 3: Cross multiply
    148.04x = 204.23 × 101.48
  4. Step 4: Simplify right side
    148.04x = 20,726.02
  5. Step 5: Solve for x
    x = 20,726.02/148.04
  6. Step 6: Final answer
    x = 140.01

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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.