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Finding the Fourth Proportional to 147.70, 204 and 112.90

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Solution

The fourth proportional to 147.70, 204 and 112.90 is: 155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.70 : 204 = 112.90 : x
  2. Step 2: Convert to fraction form
    147.70/204 = 112.90/x
  3. Step 3: Cross multiply
    147.70x = 204 × 112.90
  4. Step 4: Simplify right side
    147.70x = 23,031.60
  5. Step 5: Solve for x
    x = 23,031.60/147.70
  6. Step 6: Final answer
    x = 155.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.