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Finding the Fourth Proportional to 61.63, 92.34 and 37.53

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Solution

The fourth proportional to 61.63, 92.34 and 37.53 is: 56.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.63 : 92.34 = 37.53 : x
  2. Step 2: Convert to fraction form
    61.63/92.34 = 37.53/x
  3. Step 3: Cross multiply
    61.63x = 92.34 × 37.53
  4. Step 4: Simplify right side
    61.63x = 3,465.75
  5. Step 5: Solve for x
    x = 3,465.75/61.63
  6. Step 6: Final answer
    x = 56.23

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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.