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Finding the Fourth Proportional to 148.36, 204.74 and 99.32

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Solution

The fourth proportional to 148.36, 204.74 and 99.32 is: 137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.36 : 204.74 = 99.32 : x
  2. Step 2: Convert to fraction form
    148.36/204.74 = 99.32/x
  3. Step 3: Cross multiply
    148.36x = 204.74 × 99.32
  4. Step 4: Simplify right side
    148.36x = 20,334.28
  5. Step 5: Solve for x
    x = 20,334.28/148.36
  6. Step 6: Final answer
    x = 137.07

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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.