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Finding the Fourth Proportional to 106.98, 145.59 and 106.56

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Solution

The fourth proportional to 106.98, 145.59 and 106.56 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.98 : 145.59 = 106.56 : x
  2. Step 2: Convert to fraction form
    106.98/145.59 = 106.56/x
  3. Step 3: Cross multiply
    106.98x = 145.59 × 106.56
  4. Step 4: Simplify right side
    106.98x = 15,514.07
  5. Step 5: Solve for x
    x = 15,514.07/106.98
  6. Step 6: Final answer
    x = 145.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.