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Finding the Fourth Proportional to 70.90, 97.78 and 57.08

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Solution

The fourth proportional to 70.90, 97.78 and 57.08 is: 78.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.90 : 97.78 = 57.08 : x
  2. Step 2: Convert to fraction form
    70.90/97.78 = 57.08/x
  3. Step 3: Cross multiply
    70.90x = 97.78 × 57.08
  4. Step 4: Simplify right side
    70.90x = 5,581.28
  5. Step 5: Solve for x
    x = 5,581.28/70.90
  6. Step 6: Final answer
    x = 78.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.