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Finding the Fourth Proportional to 148.06, 204.23 and 99

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Solution

The fourth proportional to 148.06, 204.23 and 99 is: 136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.06 : 204.23 = 99 : x
  2. Step 2: Convert to fraction form
    148.06/204.23 = 99/x
  3. Step 3: Cross multiply
    148.06x = 204.23 × 99
  4. Step 4: Simplify right side
    148.06x = 20,218.77
  5. Step 5: Solve for x
    x = 20,218.77/148.06
  6. Step 6: Final answer
    x = 136.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.