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Finding the Fourth Proportional to 102.95, 154.49 and 64.53

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Solution

The fourth proportional to 102.95, 154.49 and 64.53 is: 96.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.95 : 154.49 = 64.53 : x
  2. Step 2: Convert to fraction form
    102.95/154.49 = 64.53/x
  3. Step 3: Cross multiply
    102.95x = 154.49 × 64.53
  4. Step 4: Simplify right side
    102.95x = 9,969.28
  5. Step 5: Solve for x
    x = 9,969.28/102.95
  6. Step 6: Final answer
    x = 96.83

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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.