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Finding the Fourth Proportional to 37.16, 55.70 and 11.46

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Solution

The fourth proportional to 37.16, 55.70 and 11.46 is: 17.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.16 : 55.70 = 11.46 : x
  2. Step 2: Convert to fraction form
    37.16/55.70 = 11.46/x
  3. Step 3: Cross multiply
    37.16x = 55.70 × 11.46
  4. Step 4: Simplify right side
    37.16x = 638.42
  5. Step 5: Solve for x
    x = 638.42/37.16
  6. Step 6: Final answer
    x = 17.18

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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.