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Finding the Fourth Proportional to 136.23, 204.17 and 59.15

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Solution

The fourth proportional to 136.23, 204.17 and 59.15 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.23 : 204.17 = 59.15 : x
  2. Step 2: Convert to fraction form
    136.23/204.17 = 59.15/x
  3. Step 3: Cross multiply
    136.23x = 204.17 × 59.15
  4. Step 4: Simplify right side
    136.23x = 12,075.78
  5. Step 5: Solve for x
    x = 12,075.78/136.23
  6. Step 6: Final answer
    x = 88.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.