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Finding the Fourth Proportional to 102.36, 154 and 61.81

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Solution

The fourth proportional to 102.36, 154 and 61.81 is: 92.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.36 : 154 = 61.81 : x
  2. Step 2: Convert to fraction form
    102.36/154 = 61.81/x
  3. Step 3: Cross multiply
    102.36x = 154 × 61.81
  4. Step 4: Simplify right side
    102.36x = 9,518.74
  5. Step 5: Solve for x
    x = 9,518.74/102.36
  6. Step 6: Final answer
    x = 92.99

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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.