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Finding the Fourth Proportional to 100.04, 149.94 and 56.66

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Solution

The fourth proportional to 100.04, 149.94 and 56.66 is: 84.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.04 : 149.94 = 56.66 : x
  2. Step 2: Convert to fraction form
    100.04/149.94 = 56.66/x
  3. Step 3: Cross multiply
    100.04x = 149.94 × 56.66
  4. Step 4: Simplify right side
    100.04x = 8,494.85
  5. Step 5: Solve for x
    x = 8,494.85/100.04
  6. Step 6: Final answer
    x = 84.92

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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.