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Finding the Fourth Proportional to 147.86, 204.08 and 89.63

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Solution

The fourth proportional to 147.86, 204.08 and 89.63 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.86 : 204.08 = 89.63 : x
  2. Step 2: Convert to fraction form
    147.86/204.08 = 89.63/x
  3. Step 3: Cross multiply
    147.86x = 204.08 × 89.63
  4. Step 4: Simplify right side
    147.86x = 18,290.22
  5. Step 5: Solve for x
    x = 18,290.22/147.86
  6. Step 6: Final answer
    x = 123.70

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Why These Related Problems?

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