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Finding the Fourth Proportional to 93.81, 129.36 and 56.46

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Solution

The fourth proportional to 93.81, 129.36 and 56.46 is: 77.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.81 : 129.36 = 56.46 : x
  2. Step 2: Convert to fraction form
    93.81/129.36 = 56.46/x
  3. Step 3: Cross multiply
    93.81x = 129.36 × 56.46
  4. Step 4: Simplify right side
    93.81x = 7,303.48
  5. Step 5: Solve for x
    x = 7,303.48/93.81
  6. Step 6: Final answer
    x = 77.86

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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.