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Finding the Fourth Proportional to 61.53, 92.09 and 47.14

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Solution

The fourth proportional to 61.53, 92.09 and 47.14 is: 70.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.53 : 92.09 = 47.14 : x
  2. Step 2: Convert to fraction form
    61.53/92.09 = 47.14/x
  3. Step 3: Cross multiply
    61.53x = 92.09 × 47.14
  4. Step 4: Simplify right side
    61.53x = 4,341.01
  5. Step 5: Solve for x
    x = 4,341.01/61.53
  6. Step 6: Final answer
    x = 70.56

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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.