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Finding the Fourth Proportional to 15.78, 23.48 and 15.30

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Solution

The fourth proportional to 15.78, 23.48 and 15.30 is: 22.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.78 : 23.48 = 15.30 : x
  2. Step 2: Convert to fraction form
    15.78/23.48 = 15.30/x
  3. Step 3: Cross multiply
    15.78x = 23.48 × 15.30
  4. Step 4: Simplify right side
    15.78x = 359.28
  5. Step 5: Solve for x
    x = 359.28/15.78
  6. Step 6: Final answer
    x = 22.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.