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Finding the Fourth Proportional to 15.42, 23.14 and 9.64

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Solution

The fourth proportional to 15.42, 23.14 and 9.64 is: 14.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.42 : 23.14 = 9.64 : x
  2. Step 2: Convert to fraction form
    15.42/23.14 = 9.64/x
  3. Step 3: Cross multiply
    15.42x = 23.14 × 9.64
  4. Step 4: Simplify right side
    15.42x = 223.02
  5. Step 5: Solve for x
    x = 223.02/15.42
  6. Step 6: Final answer
    x = 14.47

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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.