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Finding the Fourth Proportional to 15.37, 23.16 and 13.70

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Solution

The fourth proportional to 15.37, 23.16 and 13.70 is: 20.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.37 : 23.16 = 13.70 : x
  2. Step 2: Convert to fraction form
    15.37/23.16 = 13.70/x
  3. Step 3: Cross multiply
    15.37x = 23.16 × 13.70
  4. Step 4: Simplify right side
    15.37x = 317.29
  5. Step 5: Solve for x
    x = 317.29/15.37
  6. Step 6: Final answer
    x = 20.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.