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Finding the Fourth Proportional to 61.40, 84.54 and 57.84

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Solution

The fourth proportional to 61.40, 84.54 and 57.84 is: 79.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.40 : 84.54 = 57.84 : x
  2. Step 2: Convert to fraction form
    61.40/84.54 = 57.84/x
  3. Step 3: Cross multiply
    61.40x = 84.54 × 57.84
  4. Step 4: Simplify right side
    61.40x = 4,889.79
  5. Step 5: Solve for x
    x = 4,889.79/61.40
  6. Step 6: Final answer
    x = 79.64

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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.