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Finding the Fourth Proportional to 125.21, 172.80 and 76.10

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Solution

The fourth proportional to 125.21, 172.80 and 76.10 is: 105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.21 : 172.80 = 76.10 : x
  2. Step 2: Convert to fraction form
    125.21/172.80 = 76.10/x
  3. Step 3: Cross multiply
    125.21x = 172.80 × 76.10
  4. Step 4: Simplify right side
    125.21x = 13,149.22
  5. Step 5: Solve for x
    x = 13,149.22/125.21
  6. Step 6: Final answer
    x = 105.02

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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.