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Finding the Fourth Proportional to 107.94, 148.96 and 73.02

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Solution

The fourth proportional to 107.94, 148.96 and 73.02 is: 100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.94 : 148.96 = 73.02 : x
  2. Step 2: Convert to fraction form
    107.94/148.96 = 73.02/x
  3. Step 3: Cross multiply
    107.94x = 148.96 × 73.02
  4. Step 4: Simplify right side
    107.94x = 10,877.06
  5. Step 5: Solve for x
    x = 10,877.06/107.94
  6. Step 6: Final answer
    x = 100.77

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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.