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Finding the Fourth Proportional to 30.32, 45.16 and 30.14

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Solution

The fourth proportional to 30.32, 45.16 and 30.14 is: 44.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.32 : 45.16 = 30.14 : x
  2. Step 2: Convert to fraction form
    30.32/45.16 = 30.14/x
  3. Step 3: Cross multiply
    30.32x = 45.16 × 30.14
  4. Step 4: Simplify right side
    30.32x = 1,361.12
  5. Step 5: Solve for x
    x = 1,361.12/30.32
  6. Step 6: Final answer
    x = 44.89

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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.