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Finding the Fourth Proportional to 73.75, 101.77 and 41.00

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Solution

The fourth proportional to 73.75, 101.77 and 41.00 is: 56.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.75 : 101.77 = 41.00 : x
  2. Step 2: Convert to fraction form
    73.75/101.77 = 41.00/x
  3. Step 3: Cross multiply
    73.75x = 101.77 × 41.00
  4. Step 4: Simplify right side
    73.75x = 4,172.34
  5. Step 5: Solve for x
    x = 4,172.34/73.75
  6. Step 6: Final answer
    x = 56.58

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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.