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Finding the Fourth Proportional to 125.10, 172.53 and 100.53

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Solution

The fourth proportional to 125.10, 172.53 and 100.53 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.10 : 172.53 = 100.53 : x
  2. Step 2: Convert to fraction form
    125.10/172.53 = 100.53/x
  3. Step 3: Cross multiply
    125.10x = 172.53 × 100.53
  4. Step 4: Simplify right side
    125.10x = 17,344.44
  5. Step 5: Solve for x
    x = 17,344.44/125.10
  6. Step 6: Final answer
    x = 138.64

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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.