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Finding the Fourth Proportional to 147.08, 202.97 and 84.86

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Solution

The fourth proportional to 147.08, 202.97 and 84.86 is: 117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.08 : 202.97 = 84.86 : x
  2. Step 2: Convert to fraction form
    147.08/202.97 = 84.86/x
  3. Step 3: Cross multiply
    147.08x = 202.97 × 84.86
  4. Step 4: Simplify right side
    147.08x = 17,224.12
  5. Step 5: Solve for x
    x = 17,224.12/147.08
  6. Step 6: Final answer
    x = 117.11

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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.