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Finding the Fourth Proportional to 73.61, 101.61 and 49.00

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Solution

The fourth proportional to 73.61, 101.61 and 49.00 is: 67.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.61 : 101.61 = 49.00 : x
  2. Step 2: Convert to fraction form
    73.61/101.61 = 49.00/x
  3. Step 3: Cross multiply
    73.61x = 101.61 × 49.00
  4. Step 4: Simplify right side
    73.61x = 4,979.02
  5. Step 5: Solve for x
    x = 4,979.02/73.61
  6. Step 6: Final answer
    x = 67.65

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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.