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Finding the Fourth Proportional to 147.60, 203.72 and 89.40

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Solution

The fourth proportional to 147.60, 203.72 and 89.40 is: 123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.60 : 203.72 = 89.40 : x
  2. Step 2: Convert to fraction form
    147.60/203.72 = 89.40/x
  3. Step 3: Cross multiply
    147.60x = 203.72 × 89.40
  4. Step 4: Simplify right side
    147.60x = 18,212.57
  5. Step 5: Solve for x
    x = 18,212.57/147.60
  6. Step 6: Final answer
    x = 123.39

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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.