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Finding the Fourth Proportional to 146.53, 202.33 and 97.46

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Solution

The fourth proportional to 146.53, 202.33 and 97.46 is: 134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.53 : 202.33 = 97.46 : x
  2. Step 2: Convert to fraction form
    146.53/202.33 = 97.46/x
  3. Step 3: Cross multiply
    146.53x = 202.33 × 97.46
  4. Step 4: Simplify right side
    146.53x = 19,719.08
  5. Step 5: Solve for x
    x = 19,719.08/146.53
  6. Step 6: Final answer
    x = 134.57

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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.