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Finding the Fourth Proportional to 30.91, 42.64 and 28

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Solution

The fourth proportional to 30.91, 42.64 and 28 is: 38.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.91 : 42.64 = 28 : x
  2. Step 2: Convert to fraction form
    30.91/42.64 = 28/x
  3. Step 3: Cross multiply
    30.91x = 42.64 × 28
  4. Step 4: Simplify right side
    30.91x = 1,193.92
  5. Step 5: Solve for x
    x = 1,193.92/30.91
  6. Step 6: Final answer
    x = 38.63

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1.5x scale

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.