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Finding the Fourth Proportional to 105.69, 145.85 and 59.07

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Solution

The fourth proportional to 105.69, 145.85 and 59.07 is: 81.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.69 : 145.85 = 59.07 : x
  2. Step 2: Convert to fraction form
    105.69/145.85 = 59.07/x
  3. Step 3: Cross multiply
    105.69x = 145.85 × 59.07
  4. Step 4: Simplify right side
    105.69x = 8,615.51
  5. Step 5: Solve for x
    x = 8,615.51/105.69
  6. Step 6: Final answer
    x = 81.52

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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.