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Finding the Fourth Proportional to 99.71, 137.62 and 56.06

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Solution

The fourth proportional to 99.71, 137.62 and 56.06 is: 77.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.71 : 137.62 = 56.06 : x
  2. Step 2: Convert to fraction form
    99.71/137.62 = 56.06/x
  3. Step 3: Cross multiply
    99.71x = 137.62 × 56.06
  4. Step 4: Simplify right side
    99.71x = 7,714.98
  5. Step 5: Solve for x
    x = 7,714.98/99.71
  6. Step 6: Final answer
    x = 77.37

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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.