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Finding the Fourth Proportional to 30.43, 45.64 and 10.14

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Solution

The fourth proportional to 30.43, 45.64 and 10.14 is: 15.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.43 : 45.64 = 10.14 : x
  2. Step 2: Convert to fraction form
    30.43/45.64 = 10.14/x
  3. Step 3: Cross multiply
    30.43x = 45.64 × 10.14
  4. Step 4: Simplify right side
    30.43x = 462.81
  5. Step 5: Solve for x
    x = 462.81/30.43
  6. Step 6: Final answer
    x = 15.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.