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Finding the Fourth Proportional to 148.06, 204.42 and 99.01

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Solution

The fourth proportional to 148.06, 204.42 and 99.01 is: 136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.06 : 204.42 = 99.01 : x
  2. Step 2: Convert to fraction form
    148.06/204.42 = 99.01/x
  3. Step 3: Cross multiply
    148.06x = 204.42 × 99.01
  4. Step 4: Simplify right side
    148.06x = 20,239.62
  5. Step 5: Solve for x
    x = 20,239.62/148.06
  6. Step 6: Final answer
    x = 136.70

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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.