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Finding the Fourth Proportional to 146.50, 202.05 and 88.24

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Solution

The fourth proportional to 146.50, 202.05 and 88.24 is: 121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.50 : 202.05 = 88.24 : x
  2. Step 2: Convert to fraction form
    146.50/202.05 = 88.24/x
  3. Step 3: Cross multiply
    146.50x = 202.05 × 88.24
  4. Step 4: Simplify right side
    146.50x = 17,828.89
  5. Step 5: Solve for x
    x = 17,828.89/146.50
  6. Step 6: Final answer
    x = 121.70

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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.