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Finding the Fourth Proportional to 125.22, 187.85 and 101.46

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Solution

The fourth proportional to 125.22, 187.85 and 101.46 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.22 : 187.85 = 101.46 : x
  2. Step 2: Convert to fraction form
    125.22/187.85 = 101.46/x
  3. Step 3: Cross multiply
    125.22x = 187.85 × 101.46
  4. Step 4: Simplify right side
    125.22x = 19,059.26
  5. Step 5: Solve for x
    x = 19,059.26/125.22
  6. Step 6: Final answer
    x = 152.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.