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Finding the Fourth Proportional to 102.95, 154.39 and 51.58

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Solution

The fourth proportional to 102.95, 154.39 and 51.58 is: 77.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.95 : 154.39 = 51.58 : x
  2. Step 2: Convert to fraction form
    102.95/154.39 = 51.58/x
  3. Step 3: Cross multiply
    102.95x = 154.39 × 51.58
  4. Step 4: Simplify right side
    102.95x = 7,963.44
  5. Step 5: Solve for x
    x = 7,963.44/102.95
  6. Step 6: Final answer
    x = 77.35

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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.