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Finding the Fourth Proportional to 73.13, 101.46 and 70.08

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Solution

The fourth proportional to 73.13, 101.46 and 70.08 is: 97.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.13 : 101.46 = 70.08 : x
  2. Step 2: Convert to fraction form
    73.13/101.46 = 70.08/x
  3. Step 3: Cross multiply
    73.13x = 101.46 × 70.08
  4. Step 4: Simplify right side
    73.13x = 7,110.32
  5. Step 5: Solve for x
    x = 7,110.32/73.13
  6. Step 6: Final answer
    x = 97.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.