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Finding the Fourth Proportional to 98.42, 135.81 and 57.00

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Solution

The fourth proportional to 98.42, 135.81 and 57.00 is: 78.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 135.81 = 57.00 : x
  2. Step 2: Convert to fraction form
    98.42/135.81 = 57.00/x
  3. Step 3: Cross multiply
    98.42x = 135.81 × 57.00
  4. Step 4: Simplify right side
    98.42x = 7,741.68
  5. Step 5: Solve for x
    x = 7,741.68/98.42
  6. Step 6: Final answer
    x = 78.66

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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.