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Finding the Fourth Proportional to 125.10, 172.47 and 105.66

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Solution

The fourth proportional to 125.10, 172.47 and 105.66 is: 145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.10 : 172.47 = 105.66 : x
  2. Step 2: Convert to fraction form
    125.10/172.47 = 105.66/x
  3. Step 3: Cross multiply
    125.10x = 172.47 × 105.66
  4. Step 4: Simplify right side
    125.10x = 18,223.18
  5. Step 5: Solve for x
    x = 18,223.18/125.10
  6. Step 6: Final answer
    x = 145.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.