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Finding the Fourth Proportional to 61.83, 85.47 and 56.77

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Solution

The fourth proportional to 61.83, 85.47 and 56.77 is: 78.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.83 : 85.47 = 56.77 : x
  2. Step 2: Convert to fraction form
    61.83/85.47 = 56.77/x
  3. Step 3: Cross multiply
    61.83x = 85.47 × 56.77
  4. Step 4: Simplify right side
    61.83x = 4,852.13
  5. Step 5: Solve for x
    x = 4,852.13/61.83
  6. Step 6: Final answer
    x = 78.48

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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.