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Finding the Fourth Proportional to 98.59, 136.08 and 65.40

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Solution

The fourth proportional to 98.59, 136.08 and 65.40 is: 90.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.59 : 136.08 = 65.40 : x
  2. Step 2: Convert to fraction form
    98.59/136.08 = 65.40/x
  3. Step 3: Cross multiply
    98.59x = 136.08 × 65.40
  4. Step 4: Simplify right side
    98.59x = 8,899.31
  5. Step 5: Solve for x
    x = 8,899.31/98.59
  6. Step 6: Final answer
    x = 90.27

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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.