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Finding the Fourth Proportional to 105.61, 145.84 and 64.19

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Solution

The fourth proportional to 105.61, 145.84 and 64.19 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.61 : 145.84 = 64.19 : x
  2. Step 2: Convert to fraction form
    105.61/145.84 = 64.19/x
  3. Step 3: Cross multiply
    105.61x = 145.84 × 64.19
  4. Step 4: Simplify right side
    105.61x = 9,361.09
  5. Step 5: Solve for x
    x = 9,361.09/105.61
  6. Step 6: Final answer
    x = 88.64

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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.