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Finding the Fourth Proportional to 78.17, 117.75 and 73.20

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Solution

The fourth proportional to 78.17, 117.75 and 73.20 is: 110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.17 : 117.75 = 73.20 : x
  2. Step 2: Convert to fraction form
    78.17/117.75 = 73.20/x
  3. Step 3: Cross multiply
    78.17x = 117.75 × 73.20
  4. Step 4: Simplify right side
    78.17x = 8,620.02
  5. Step 5: Solve for x
    x = 8,620.02/78.17
  6. Step 6: Final answer
    x = 110.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.