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Finding the Fourth Proportional to 147.67, 203.81 and 85.51

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Solution

The fourth proportional to 147.67, 203.81 and 85.51 is: 118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.67 : 203.81 = 85.51 : x
  2. Step 2: Convert to fraction form
    147.67/203.81 = 85.51/x
  3. Step 3: Cross multiply
    147.67x = 203.81 × 85.51
  4. Step 4: Simplify right side
    147.67x = 17,427.69
  5. Step 5: Solve for x
    x = 17,427.69/147.67
  6. Step 6: Final answer
    x = 118.02

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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.