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Finding the Fourth Proportional to 105.58, 145.71 and 66.27

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Solution

The fourth proportional to 105.58, 145.71 and 66.27 is: 91.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.58 : 145.71 = 66.27 : x
  2. Step 2: Convert to fraction form
    105.58/145.71 = 66.27/x
  3. Step 3: Cross multiply
    105.58x = 145.71 × 66.27
  4. Step 4: Simplify right side
    105.58x = 9,655.47
  5. Step 5: Solve for x
    x = 9,655.47/105.58
  6. Step 6: Final answer
    x = 91.45

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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.