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Finding the Fourth Proportional to 147.84, 204.16 and 96.16

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Solution

The fourth proportional to 147.84, 204.16 and 96.16 is: 132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.84 : 204.16 = 96.16 : x
  2. Step 2: Convert to fraction form
    147.84/204.16 = 96.16/x
  3. Step 3: Cross multiply
    147.84x = 204.16 × 96.16
  4. Step 4: Simplify right side
    147.84x = 19,632.03
  5. Step 5: Solve for x
    x = 19,632.03/147.84
  6. Step 6: Final answer
    x = 132.79

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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.