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Finding the Fourth Proportional to 147.84, 204.04 and 88.87

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Solution

The fourth proportional to 147.84, 204.04 and 88.87 is: 122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.84 : 204.04 = 88.87 : x
  2. Step 2: Convert to fraction form
    147.84/204.04 = 88.87/x
  3. Step 3: Cross multiply
    147.84x = 204.04 × 88.87
  4. Step 4: Simplify right side
    147.84x = 18,133.84
  5. Step 5: Solve for x
    x = 18,133.84/147.84
  6. Step 6: Final answer
    x = 122.66

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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.