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Finding the Fourth Proportional to 110.64, 153.75 and 109.53

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Solution

The fourth proportional to 110.64, 153.75 and 109.53 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.64 : 153.75 = 109.53 : x
  2. Step 2: Convert to fraction form
    110.64/153.75 = 109.53/x
  3. Step 3: Cross multiply
    110.64x = 153.75 × 109.53
  4. Step 4: Simplify right side
    110.64x = 16,840.24
  5. Step 5: Solve for x
    x = 16,840.24/110.64
  6. Step 6: Final answer
    x = 152.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.