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Finding the Fourth Proportional to 98.04, 135.27 and 64.83

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Solution

The fourth proportional to 98.04, 135.27 and 64.83 is: 89.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.04 : 135.27 = 64.83 : x
  2. Step 2: Convert to fraction form
    98.04/135.27 = 64.83/x
  3. Step 3: Cross multiply
    98.04x = 135.27 × 64.83
  4. Step 4: Simplify right side
    98.04x = 8,769.55
  5. Step 5: Solve for x
    x = 8,769.55/98.04
  6. Step 6: Final answer
    x = 89.45

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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.