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Finding the Fourth Proportional to 93.80, 141.35 and 87.32

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Solution

The fourth proportional to 93.80, 141.35 and 87.32 is: 131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.80 : 141.35 = 87.32 : x
  2. Step 2: Convert to fraction form
    93.80/141.35 = 87.32/x
  3. Step 3: Cross multiply
    93.80x = 141.35 × 87.32
  4. Step 4: Simplify right side
    93.80x = 12,342.60
  5. Step 5: Solve for x
    x = 12,342.60/93.80
  6. Step 6: Final answer
    x = 131.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.