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Finding the Fourth Proportional to 68.95, 103.47 and 32.95

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Solution

The fourth proportional to 68.95, 103.47 and 32.95 is: 49.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.95 : 103.47 = 32.95 : x
  2. Step 2: Convert to fraction form
    68.95/103.47 = 32.95/x
  3. Step 3: Cross multiply
    68.95x = 103.47 × 32.95
  4. Step 4: Simplify right side
    68.95x = 3,409.34
  5. Step 5: Solve for x
    x = 3,409.34/68.95
  6. Step 6: Final answer
    x = 49.45

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