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Finding the Fourth Proportional to 93.75, 129.35 and 52.30

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Solution

The fourth proportional to 93.75, 129.35 and 52.30 is: 72.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.75 : 129.35 = 52.30 : x
  2. Step 2: Convert to fraction form
    93.75/129.35 = 52.30/x
  3. Step 3: Cross multiply
    93.75x = 129.35 × 52.30
  4. Step 4: Simplify right side
    93.75x = 6,765.81
  5. Step 5: Solve for x
    x = 6,765.81/93.75
  6. Step 6: Final answer
    x = 72.17

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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.