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Finding the Fourth Proportional to 30.99, 46.53 and 15.78

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Solution

The fourth proportional to 30.99, 46.53 and 15.78 is: 23.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.99 : 46.53 = 15.78 : x
  2. Step 2: Convert to fraction form
    30.99/46.53 = 15.78/x
  3. Step 3: Cross multiply
    30.99x = 46.53 × 15.78
  4. Step 4: Simplify right side
    30.99x = 734.34
  5. Step 5: Solve for x
    x = 734.34/30.99
  6. Step 6: Final answer
    x = 23.70

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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.