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Finding the Fourth Proportional to 53, 73.14 and 30

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Solution

The fourth proportional to 53, 73.14 and 30 is: 41.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53 : 73.14 = 30 : x
  2. Step 2: Convert to fraction form
    53/73.14 = 30/x
  3. Step 3: Cross multiply
    53x = 73.14 × 30
  4. Step 4: Simplify right side
    53x = 2,194.20
  5. Step 5: Solve for x
    x = 2,194.20/53
  6. Step 6: Final answer
    x = 41.40

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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.