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Finding the Fourth Proportional to 92.64, 127.80 and 58.14

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Solution

The fourth proportional to 92.64, 127.80 and 58.14 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.64 : 127.80 = 58.14 : x
  2. Step 2: Convert to fraction form
    92.64/127.80 = 58.14/x
  3. Step 3: Cross multiply
    92.64x = 127.80 × 58.14
  4. Step 4: Simplify right side
    92.64x = 7,430.29
  5. Step 5: Solve for x
    x = 7,430.29/92.64
  6. Step 6: Final answer
    x = 80.21

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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.