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Finding the Fourth Proportional to 93.70, 129.32 and 61

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Solution

The fourth proportional to 93.70, 129.32 and 61 is: 84.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.70 : 129.32 = 61 : x
  2. Step 2: Convert to fraction form
    93.70/129.32 = 61/x
  3. Step 3: Cross multiply
    93.70x = 129.32 × 61
  4. Step 4: Simplify right side
    93.70x = 7,888.52
  5. Step 5: Solve for x
    x = 7,888.52/93.70
  6. Step 6: Final answer
    x = 84.19

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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.