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Finding the Fourth Proportional to 73.64, 101.60 and 47.76

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Solution

The fourth proportional to 73.64, 101.60 and 47.76 is: 65.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.64 : 101.60 = 47.76 : x
  2. Step 2: Convert to fraction form
    73.64/101.60 = 47.76/x
  3. Step 3: Cross multiply
    73.64x = 101.60 × 47.76
  4. Step 4: Simplify right side
    73.64x = 4,852.42
  5. Step 5: Solve for x
    x = 4,852.42/73.64
  6. Step 6: Final answer
    x = 65.89

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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.