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Finding the Fourth Proportional to 30.53, 42.14 and 17.60

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Solution

The fourth proportional to 30.53, 42.14 and 17.60 is: 24.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.53 : 42.14 = 17.60 : x
  2. Step 2: Convert to fraction form
    30.53/42.14 = 17.60/x
  3. Step 3: Cross multiply
    30.53x = 42.14 × 17.60
  4. Step 4: Simplify right side
    30.53x = 741.45
  5. Step 5: Solve for x
    x = 741.45/30.53
  6. Step 6: Final answer
    x = 24.29

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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.