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Finding the Fourth Proportional to 99.77, 137.69 and 56.11

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Solution

The fourth proportional to 99.77, 137.69 and 56.11 is: 77.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.77 : 137.69 = 56.11 : x
  2. Step 2: Convert to fraction form
    99.77/137.69 = 56.11/x
  3. Step 3: Cross multiply
    99.77x = 137.69 × 56.11
  4. Step 4: Simplify right side
    99.77x = 7,725.63
  5. Step 5: Solve for x
    x = 7,725.63/99.77
  6. Step 6: Final answer
    x = 77.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.