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Finding the Fourth Proportional to 99.84, 149.64 and 45.68

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Solution

The fourth proportional to 99.84, 149.64 and 45.68 is: 68.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.84 : 149.64 = 45.68 : x
  2. Step 2: Convert to fraction form
    99.84/149.64 = 45.68/x
  3. Step 3: Cross multiply
    99.84x = 149.64 × 45.68
  4. Step 4: Simplify right side
    99.84x = 6,835.56
  5. Step 5: Solve for x
    x = 6,835.56/99.84
  6. Step 6: Final answer
    x = 68.47

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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.