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Finding the Fourth Proportional to 148.54, 204.84 and 99.40

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Solution

The fourth proportional to 148.54, 204.84 and 99.40 is: 137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.54 : 204.84 = 99.40 : x
  2. Step 2: Convert to fraction form
    148.54/204.84 = 99.40/x
  3. Step 3: Cross multiply
    148.54x = 204.84 × 99.40
  4. Step 4: Simplify right side
    148.54x = 20,361.10
  5. Step 5: Solve for x
    x = 20,361.10/148.54
  6. Step 6: Final answer
    x = 137.07

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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.