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Finding the Fourth Proportional to 68.02, 102.10 and 31.98

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Solution

The fourth proportional to 68.02, 102.10 and 31.98 is: 48.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.02 : 102.10 = 31.98 : x
  2. Step 2: Convert to fraction form
    68.02/102.10 = 31.98/x
  3. Step 3: Cross multiply
    68.02x = 102.10 × 31.98
  4. Step 4: Simplify right side
    68.02x = 3,265.16
  5. Step 5: Solve for x
    x = 3,265.16/68.02
  6. Step 6: Final answer
    x = 48.00

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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.