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Finding the Fourth Proportional to 98.34, 135.63 and 89.07

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Solution

The fourth proportional to 98.34, 135.63 and 89.07 is: 122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.34 : 135.63 = 89.07 : x
  2. Step 2: Convert to fraction form
    98.34/135.63 = 89.07/x
  3. Step 3: Cross multiply
    98.34x = 135.63 × 89.07
  4. Step 4: Simplify right side
    98.34x = 12,080.56
  5. Step 5: Solve for x
    x = 12,080.56/98.34
  6. Step 6: Final answer
    x = 122.84

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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.