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Finding the Fourth Proportional to 68.56, 102.64 and 48.16

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Solution

The fourth proportional to 68.56, 102.64 and 48.16 is: 72.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.56 : 102.64 = 48.16 : x
  2. Step 2: Convert to fraction form
    68.56/102.64 = 48.16/x
  3. Step 3: Cross multiply
    68.56x = 102.64 × 48.16
  4. Step 4: Simplify right side
    68.56x = 4,943.14
  5. Step 5: Solve for x
    x = 4,943.14/68.56
  6. Step 6: Final answer
    x = 72.10

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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.