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Finding the Fourth Proportional to 78.10, 117.26 and 66.76

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Solution

The fourth proportional to 78.10, 117.26 and 66.76 is: 100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.10 : 117.26 = 66.76 : x
  2. Step 2: Convert to fraction form
    78.10/117.26 = 66.76/x
  3. Step 3: Cross multiply
    78.10x = 117.26 × 66.76
  4. Step 4: Simplify right side
    78.10x = 7,828.28
  5. Step 5: Solve for x
    x = 7,828.28/78.10
  6. Step 6: Final answer
    x = 100.23

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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.