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Finding the Fourth Proportional to 147.01, 202.81 and 84.83

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Solution

The fourth proportional to 147.01, 202.81 and 84.83 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.01 : 202.81 = 84.83 : x
  2. Step 2: Convert to fraction form
    147.01/202.81 = 84.83/x
  3. Step 3: Cross multiply
    147.01x = 202.81 × 84.83
  4. Step 4: Simplify right side
    147.01x = 17,203.15
  5. Step 5: Solve for x
    x = 17,203.15/147.01
  6. Step 6: Final answer
    x = 117.02

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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.