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Finding the Fourth Proportional to 61.24, 92.44 and 59.64

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Solution

The fourth proportional to 61.24, 92.44 and 59.64 is: 90.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.24 : 92.44 = 59.64 : x
  2. Step 2: Convert to fraction form
    61.24/92.44 = 59.64/x
  3. Step 3: Cross multiply
    61.24x = 92.44 × 59.64
  4. Step 4: Simplify right side
    61.24x = 5,513.12
  5. Step 5: Solve for x
    x = 5,513.12/61.24
  6. Step 6: Final answer
    x = 90.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.