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Finding the Fourth Proportional to 253.90, 381.06 and 91.72

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Solution

The fourth proportional to 253.90, 381.06 and 91.72 is: 137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.90 : 381.06 = 91.72 : x
  2. Step 2: Convert to fraction form
    253.90/381.06 = 91.72/x
  3. Step 3: Cross multiply
    253.90x = 381.06 × 91.72
  4. Step 4: Simplify right side
    253.90x = 34,950.82
  5. Step 5: Solve for x
    x = 34,950.82/253.90
  6. Step 6: Final answer
    x = 137.66

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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.