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Finding the Fourth Proportional to 78.09, 117.04 and 52.47

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Solution

The fourth proportional to 78.09, 117.04 and 52.47 is: 78.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 117.04 = 52.47 : x
  2. Step 2: Convert to fraction form
    78.09/117.04 = 52.47/x
  3. Step 3: Cross multiply
    78.09x = 117.04 × 52.47
  4. Step 4: Simplify right side
    78.09x = 6,141.09
  5. Step 5: Solve for x
    x = 6,141.09/78.09
  6. Step 6: Final answer
    x = 78.64

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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.