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Finding the Fourth Proportional to 30.57, 45.86 and 13.47

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Solution

The fourth proportional to 30.57, 45.86 and 13.47 is: 20.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.57 : 45.86 = 13.47 : x
  2. Step 2: Convert to fraction form
    30.57/45.86 = 13.47/x
  3. Step 3: Cross multiply
    30.57x = 45.86 × 13.47
  4. Step 4: Simplify right side
    30.57x = 617.67
  5. Step 5: Solve for x
    x = 617.67/30.57
  6. Step 6: Final answer
    x = 20.21

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