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Finding the Fourth Proportional to 102.06, 140.85 and 56.06

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Solution

The fourth proportional to 102.06, 140.85 and 56.06 is: 77.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 140.85 = 56.06 : x
  2. Step 2: Convert to fraction form
    102.06/140.85 = 56.06/x
  3. Step 3: Cross multiply
    102.06x = 140.85 × 56.06
  4. Step 4: Simplify right side
    102.06x = 7,896.19
  5. Step 5: Solve for x
    x = 7,896.19/102.06
  6. Step 6: Final answer
    x = 77.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.