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Finding the Fourth Proportional to 147, 202.76 and 88.74

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Solution

The fourth proportional to 147, 202.76 and 88.74 is: 122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 202.76 = 88.74 : x
  2. Step 2: Convert to fraction form
    147/202.76 = 88.74/x
  3. Step 3: Cross multiply
    147x = 202.76 × 88.74
  4. Step 4: Simplify right side
    147x = 17,992.92
  5. Step 5: Solve for x
    x = 17,992.92/147
  6. Step 6: Final answer
    x = 122.40

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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.