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Finding the Fourth Proportional to 146.62, 202.35 and 97.53

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Solution

The fourth proportional to 146.62, 202.35 and 97.53 is: 134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.62 : 202.35 = 97.53 : x
  2. Step 2: Convert to fraction form
    146.62/202.35 = 97.53/x
  3. Step 3: Cross multiply
    146.62x = 202.35 × 97.53
  4. Step 4: Simplify right side
    146.62x = 19,735.20
  5. Step 5: Solve for x
    x = 19,735.20/146.62
  6. Step 6: Final answer
    x = 134.60

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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.