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Finding the Fourth Proportional to 75.83, 104.58 and 53.77

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Solution

The fourth proportional to 75.83, 104.58 and 53.77 is: 74.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.83 : 104.58 = 53.77 : x
  2. Step 2: Convert to fraction form
    75.83/104.58 = 53.77/x
  3. Step 3: Cross multiply
    75.83x = 104.58 × 53.77
  4. Step 4: Simplify right side
    75.83x = 5,623.27
  5. Step 5: Solve for x
    x = 5,623.27/75.83
  6. Step 6: Final answer
    x = 74.16

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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.