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Finding the Fourth Proportional to 78.09, 117.20 and 47.58

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Solution

The fourth proportional to 78.09, 117.20 and 47.58 is: 71.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 117.20 = 47.58 : x
  2. Step 2: Convert to fraction form
    78.09/117.20 = 47.58/x
  3. Step 3: Cross multiply
    78.09x = 117.20 × 47.58
  4. Step 4: Simplify right side
    78.09x = 5,576.38
  5. Step 5: Solve for x
    x = 5,576.38/78.09
  6. Step 6: Final answer
    x = 71.41

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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.