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Finding the Fourth Proportional to 85.30, 128.06 and 42.06

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Solution

The fourth proportional to 85.30, 128.06 and 42.06 is: 63.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.30 : 128.06 = 42.06 : x
  2. Step 2: Convert to fraction form
    85.30/128.06 = 42.06/x
  3. Step 3: Cross multiply
    85.30x = 128.06 × 42.06
  4. Step 4: Simplify right side
    85.30x = 5,386.20
  5. Step 5: Solve for x
    x = 5,386.20/85.30
  6. Step 6: Final answer
    x = 63.14

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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.