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Finding the Fourth Proportional to 85.36, 128.24 and 70.20

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Solution

The fourth proportional to 85.36, 128.24 and 70.20 is: 105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.36 : 128.24 = 70.20 : x
  2. Step 2: Convert to fraction form
    85.36/128.24 = 70.20/x
  3. Step 3: Cross multiply
    85.36x = 128.24 × 70.20
  4. Step 4: Simplify right side
    85.36x = 9,002.45
  5. Step 5: Solve for x
    x = 9,002.45/85.36
  6. Step 6: Final answer
    x = 105.46

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Why These Related Problems?

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