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Finding the Fourth Proportional to 99.53, 149.30 and 50.77

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Solution

The fourth proportional to 99.53, 149.30 and 50.77 is: 76.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.53 : 149.30 = 50.77 : x
  2. Step 2: Convert to fraction form
    99.53/149.30 = 50.77/x
  3. Step 3: Cross multiply
    99.53x = 149.30 × 50.77
  4. Step 4: Simplify right side
    99.53x = 7,579.96
  5. Step 5: Solve for x
    x = 7,579.96/99.53
  6. Step 6: Final answer
    x = 76.16

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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.