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Finding the Fourth Proportional to 211.07, 291.31 and 123.77

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Solution

The fourth proportional to 211.07, 291.31 and 123.77 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.07 : 291.31 = 123.77 : x
  2. Step 2: Convert to fraction form
    211.07/291.31 = 123.77/x
  3. Step 3: Cross multiply
    211.07x = 291.31 × 123.77
  4. Step 4: Simplify right side
    211.07x = 36,055.86
  5. Step 5: Solve for x
    x = 36,055.86/211.07
  6. Step 6: Final answer
    x = 170.82

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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.