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Finding the Fourth Proportional to 147.05, 220.54 and 78.56

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Solution

The fourth proportional to 147.05, 220.54 and 78.56 is: 117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.05 : 220.54 = 78.56 : x
  2. Step 2: Convert to fraction form
    147.05/220.54 = 78.56/x
  3. Step 3: Cross multiply
    147.05x = 220.54 × 78.56
  4. Step 4: Simplify right side
    147.05x = 17,325.62
  5. Step 5: Solve for x
    x = 17,325.62/147.05
  6. Step 6: Final answer
    x = 117.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.