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Finding the Fourth Proportional to 146.16, 201.65 and 87.95

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Solution

The fourth proportional to 146.16, 201.65 and 87.95 is: 121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 201.65 = 87.95 : x
  2. Step 2: Convert to fraction form
    146.16/201.65 = 87.95/x
  3. Step 3: Cross multiply
    146.16x = 201.65 × 87.95
  4. Step 4: Simplify right side
    146.16x = 17,735.18
  5. Step 5: Solve for x
    x = 17,735.18/146.16
  6. Step 6: Final answer
    x = 121.34

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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.