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Finding the Fourth Proportional to 280.06, 420.08 and 85.06

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Solution

The fourth proportional to 280.06, 420.08 and 85.06 is: 127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.06 : 420.08 = 85.06 : x
  2. Step 2: Convert to fraction form
    280.06/420.08 = 85.06/x
  3. Step 3: Cross multiply
    280.06x = 420.08 × 85.06
  4. Step 4: Simplify right side
    280.06x = 35,731.17
  5. Step 5: Solve for x
    x = 35,731.17/280.06
  6. Step 6: Final answer
    x = 127.59

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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.