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Finding the Fourth Proportional to 15.64, 23.43 and 15.30

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Solution

The fourth proportional to 15.64, 23.43 and 15.30 is: 22.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.64 : 23.43 = 15.30 : x
  2. Step 2: Convert to fraction form
    15.64/23.43 = 15.30/x
  3. Step 3: Cross multiply
    15.64x = 23.43 × 15.30
  4. Step 4: Simplify right side
    15.64x = 358.48
  5. Step 5: Solve for x
    x = 358.48/15.64
  6. Step 6: Final answer
    x = 22.92

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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.