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Finding the Fourth Proportional to 30.64, 45.98 and 16.40

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Solution

The fourth proportional to 30.64, 45.98 and 16.40 is: 24.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.64 : 45.98 = 16.40 : x
  2. Step 2: Convert to fraction form
    30.64/45.98 = 16.40/x
  3. Step 3: Cross multiply
    30.64x = 45.98 × 16.40
  4. Step 4: Simplify right side
    30.64x = 754.07
  5. Step 5: Solve for x
    x = 754.07/30.64
  6. Step 6: Final answer
    x = 24.61

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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.