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Finding the Fourth Proportional to 61.84, 92.31 and 53.13

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Solution

The fourth proportional to 61.84, 92.31 and 53.13 is: 79.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.84 : 92.31 = 53.13 : x
  2. Step 2: Convert to fraction form
    61.84/92.31 = 53.13/x
  3. Step 3: Cross multiply
    61.84x = 92.31 × 53.13
  4. Step 4: Simplify right side
    61.84x = 4,904.36
  5. Step 5: Solve for x
    x = 4,904.36/61.84
  6. Step 6: Final answer
    x = 79.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.