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Finding the Fourth Proportional to 73.73, 101.64 and 53

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Solution

The fourth proportional to 73.73, 101.64 and 53 is: 73.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.73 : 101.64 = 53 : x
  2. Step 2: Convert to fraction form
    73.73/101.64 = 53/x
  3. Step 3: Cross multiply
    73.73x = 101.64 × 53
  4. Step 4: Simplify right side
    73.73x = 5,386.92
  5. Step 5: Solve for x
    x = 5,386.92/73.73
  6. Step 6: Final answer
    x = 73.06

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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.