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Finding the Fourth Proportional to 147.86, 204.03 and 85.70

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Solution

The fourth proportional to 147.86, 204.03 and 85.70 is: 118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.86 : 204.03 = 85.70 : x
  2. Step 2: Convert to fraction form
    147.86/204.03 = 85.70/x
  3. Step 3: Cross multiply
    147.86x = 204.03 × 85.70
  4. Step 4: Simplify right side
    147.86x = 17,484.90
  5. Step 5: Solve for x
    x = 17,484.90/147.86
  6. Step 6: Final answer
    x = 118.25

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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.