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Finding the Fourth Proportional to 61.45, 92.06 and 58.64

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Solution

The fourth proportional to 61.45, 92.06 and 58.64 is: 87.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.45 : 92.06 = 58.64 : x
  2. Step 2: Convert to fraction form
    61.45/92.06 = 58.64/x
  3. Step 3: Cross multiply
    61.45x = 92.06 × 58.64
  4. Step 4: Simplify right side
    61.45x = 5,398.55
  5. Step 5: Solve for x
    x = 5,398.55/61.45
  6. Step 6: Final answer
    x = 87.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.