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Finding the Fourth Proportional to 77, 106.46 and 73.60

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Solution

The fourth proportional to 77, 106.46 and 73.60 is: 101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 106.46 = 73.60 : x
  2. Step 2: Convert to fraction form
    77/106.46 = 73.60/x
  3. Step 3: Cross multiply
    77x = 106.46 × 73.60
  4. Step 4: Simplify right side
    77x = 7,835.46
  5. Step 5: Solve for x
    x = 7,835.46/77
  6. Step 6: Final answer
    x = 101.76

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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.