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Finding the Fourth Proportional to 147.90, 203.84 and 111.05

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Solution

The fourth proportional to 147.90, 203.84 and 111.05 is: 153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.90 : 203.84 = 111.05 : x
  2. Step 2: Convert to fraction form
    147.90/203.84 = 111.05/x
  3. Step 3: Cross multiply
    147.90x = 203.84 × 111.05
  4. Step 4: Simplify right side
    147.90x = 22,636.43
  5. Step 5: Solve for x
    x = 22,636.43/147.90
  6. Step 6: Final answer
    x = 153.05

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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.