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Finding the Fourth Proportional to 85.17, 127.76 and 21.05

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Solution

The fourth proportional to 85.17, 127.76 and 21.05 is: 31.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.17 : 127.76 = 21.05 : x
  2. Step 2: Convert to fraction form
    85.17/127.76 = 21.05/x
  3. Step 3: Cross multiply
    85.17x = 127.76 × 21.05
  4. Step 4: Simplify right side
    85.17x = 2,689.16
  5. Step 5: Solve for x
    x = 2,689.16/85.17
  6. Step 6: Final answer
    x = 31.57

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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.