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Finding the Fourth Proportional to 99.74, 137.64 and 56.07

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Solution

The fourth proportional to 99.74, 137.64 and 56.07 is: 77.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.74 : 137.64 = 56.07 : x
  2. Step 2: Convert to fraction form
    99.74/137.64 = 56.07/x
  3. Step 3: Cross multiply
    99.74x = 137.64 × 56.07
  4. Step 4: Simplify right side
    99.74x = 7,717.47
  5. Step 5: Solve for x
    x = 7,717.47/99.74
  6. Step 6: Final answer
    x = 77.38

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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.