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Finding the Fourth Proportional to 107.42, 147.26 and 105.58

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Solution

The fourth proportional to 107.42, 147.26 and 105.58 is: 144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.42 : 147.26 = 105.58 : x
  2. Step 2: Convert to fraction form
    107.42/147.26 = 105.58/x
  3. Step 3: Cross multiply
    107.42x = 147.26 × 105.58
  4. Step 4: Simplify right side
    107.42x = 15,547.71
  5. Step 5: Solve for x
    x = 15,547.71/107.42
  6. Step 6: Final answer
    x = 144.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.