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Finding the Fourth Proportional to 30.32, 45.64 and 27.13

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Solution

The fourth proportional to 30.32, 45.64 and 27.13 is: 40.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.32 : 45.64 = 27.13 : x
  2. Step 2: Convert to fraction form
    30.32/45.64 = 27.13/x
  3. Step 3: Cross multiply
    30.32x = 45.64 × 27.13
  4. Step 4: Simplify right side
    30.32x = 1,238.21
  5. Step 5: Solve for x
    x = 1,238.21/30.32
  6. Step 6: Final answer
    x = 40.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.