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Finding the Fourth Proportional to 30.72, 42.35 and 22.53

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Solution

The fourth proportional to 30.72, 42.35 and 22.53 is: 31.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.72 : 42.35 = 22.53 : x
  2. Step 2: Convert to fraction form
    30.72/42.35 = 22.53/x
  3. Step 3: Cross multiply
    30.72x = 42.35 × 22.53
  4. Step 4: Simplify right side
    30.72x = 954.15
  5. Step 5: Solve for x
    x = 954.15/30.72
  6. Step 6: Final answer
    x = 31.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.