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Finding the Fourth Proportional to 93.08, 138.52 and 89.84

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Solution

The fourth proportional to 93.08, 138.52 and 89.84 is: 133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.08 : 138.52 = 89.84 : x
  2. Step 2: Convert to fraction form
    93.08/138.52 = 89.84/x
  3. Step 3: Cross multiply
    93.08x = 138.52 × 89.84
  4. Step 4: Simplify right side
    93.08x = 12,444.64
  5. Step 5: Solve for x
    x = 12,444.64/93.08
  6. Step 6: Final answer
    x = 133.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.