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Finding the Fourth Proportional to 30.53, 45.70 and 21.98

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Solution

The fourth proportional to 30.53, 45.70 and 21.98 is: 32.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.53 : 45.70 = 21.98 : x
  2. Step 2: Convert to fraction form
    30.53/45.70 = 21.98/x
  3. Step 3: Cross multiply
    30.53x = 45.70 × 21.98
  4. Step 4: Simplify right side
    30.53x = 1,004.77
  5. Step 5: Solve for x
    x = 1,004.77/30.53
  6. Step 6: Final answer
    x = 32.91

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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.