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Finding the Fourth Proportional to 93.98, 129.66 and 57.16

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Solution

The fourth proportional to 93.98, 129.66 and 57.16 is: 78.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.98 : 129.66 = 57.16 : x
  2. Step 2: Convert to fraction form
    93.98/129.66 = 57.16/x
  3. Step 3: Cross multiply
    93.98x = 129.66 × 57.16
  4. Step 4: Simplify right side
    93.98x = 7,411.37
  5. Step 5: Solve for x
    x = 7,411.37/93.98
  6. Step 6: Final answer
    x = 78.86

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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.