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Finding the Fourth Proportional to 78.37, 117.26 and 61.12

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Solution

The fourth proportional to 78.37, 117.26 and 61.12 is: 91.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.37 : 117.26 = 61.12 : x
  2. Step 2: Convert to fraction form
    78.37/117.26 = 61.12/x
  3. Step 3: Cross multiply
    78.37x = 117.26 × 61.12
  4. Step 4: Simplify right side
    78.37x = 7,166.63
  5. Step 5: Solve for x
    x = 7,166.63/78.37
  6. Step 6: Final answer
    x = 91.45

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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.