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Finding the Fourth Proportional to 30.16, 41.54 and 25.28

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Solution

The fourth proportional to 30.16, 41.54 and 25.28 is: 34.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.16 : 41.54 = 25.28 : x
  2. Step 2: Convert to fraction form
    30.16/41.54 = 25.28/x
  3. Step 3: Cross multiply
    30.16x = 41.54 × 25.28
  4. Step 4: Simplify right side
    30.16x = 1,050.13
  5. Step 5: Solve for x
    x = 1,050.13/30.16
  6. Step 6: Final answer
    x = 34.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.