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Finding the Fourth Proportional to 37.01, 55.53 and 31.16

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Solution

The fourth proportional to 37.01, 55.53 and 31.16 is: 46.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.01 : 55.53 = 31.16 : x
  2. Step 2: Convert to fraction form
    37.01/55.53 = 31.16/x
  3. Step 3: Cross multiply
    37.01x = 55.53 × 31.16
  4. Step 4: Simplify right side
    37.01x = 1,730.04
  5. Step 5: Solve for x
    x = 1,730.04/37.01
  6. Step 6: Final answer
    x = 46.75

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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.