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Finding the Fourth Proportional to 100.74, 149.99 and 95.72

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Solution

The fourth proportional to 100.74, 149.99 and 95.72 is: 142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.74 : 149.99 = 95.72 : x
  2. Step 2: Convert to fraction form
    100.74/149.99 = 95.72/x
  3. Step 3: Cross multiply
    100.74x = 149.99 × 95.72
  4. Step 4: Simplify right side
    100.74x = 14,355.81
  5. Step 5: Solve for x
    x = 14,355.81/100.74
  6. Step 6: Final answer
    x = 142.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.