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Finding the Fourth Proportional to 125.35, 188.02 and 53.12

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Solution

The fourth proportional to 125.35, 188.02 and 53.12 is: 79.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.35 : 188.02 = 53.12 : x
  2. Step 2: Convert to fraction form
    125.35/188.02 = 53.12/x
  3. Step 3: Cross multiply
    125.35x = 188.02 × 53.12
  4. Step 4: Simplify right side
    125.35x = 9,988.16
  5. Step 5: Solve for x
    x = 9,988.16/125.35
  6. Step 6: Final answer
    x = 79.68

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