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Finding the Fourth Proportional to 92.48, 127.59 and 59.29

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Solution

The fourth proportional to 92.48, 127.59 and 59.29 is: 81.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.48 : 127.59 = 59.29 : x
  2. Step 2: Convert to fraction form
    92.48/127.59 = 59.29/x
  3. Step 3: Cross multiply
    92.48x = 127.59 × 59.29
  4. Step 4: Simplify right side
    92.48x = 7,564.81
  5. Step 5: Solve for x
    x = 7,564.81/92.48
  6. Step 6: Final answer
    x = 81.80

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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.