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Finding the Fourth Proportional to 67.95, 102.38 and 64.98

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Solution

The fourth proportional to 67.95, 102.38 and 64.98 is: 97.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.95 : 102.38 = 64.98 : x
  2. Step 2: Convert to fraction form
    67.95/102.38 = 64.98/x
  3. Step 3: Cross multiply
    67.95x = 102.38 × 64.98
  4. Step 4: Simplify right side
    67.95x = 6,652.33
  5. Step 5: Solve for x
    x = 6,652.33/67.95
  6. Step 6: Final answer
    x = 97.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.