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Finding the Fourth Proportional to 147.80, 204.04 and 89.56

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Solution

The fourth proportional to 147.80, 204.04 and 89.56 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 204.04 = 89.56 : x
  2. Step 2: Convert to fraction form
    147.80/204.04 = 89.56/x
  3. Step 3: Cross multiply
    147.80x = 204.04 × 89.56
  4. Step 4: Simplify right side
    147.80x = 18,273.82
  5. Step 5: Solve for x
    x = 18,273.82/147.80
  6. Step 6: Final answer
    x = 123.64

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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.