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Finding the Fourth Proportional to 78.06, 116.74 and 57.56

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Solution

The fourth proportional to 78.06, 116.74 and 57.56 is: 86.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 116.74 = 57.56 : x
  2. Step 2: Convert to fraction form
    78.06/116.74 = 57.56/x
  3. Step 3: Cross multiply
    78.06x = 116.74 × 57.56
  4. Step 4: Simplify right side
    78.06x = 6,719.55
  5. Step 5: Solve for x
    x = 6,719.55/78.06
  6. Step 6: Final answer
    x = 86.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.