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Finding the Fourth Proportional to 58.76, 81.10 and 36.64

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Solution

The fourth proportional to 58.76, 81.10 and 36.64 is: 50.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.76 : 81.10 = 36.64 : x
  2. Step 2: Convert to fraction form
    58.76/81.10 = 36.64/x
  3. Step 3: Cross multiply
    58.76x = 81.10 × 36.64
  4. Step 4: Simplify right side
    58.76x = 2,971.19
  5. Step 5: Solve for x
    x = 2,971.19/58.76
  6. Step 6: Final answer
    x = 50.57

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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.