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Finding the Fourth Proportional to 93.30, 128.59 and 71.43

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Solution

The fourth proportional to 93.30, 128.59 and 71.43 is: 98.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.30 : 128.59 = 71.43 : x
  2. Step 2: Convert to fraction form
    93.30/128.59 = 71.43/x
  3. Step 3: Cross multiply
    93.30x = 128.59 × 71.43
  4. Step 4: Simplify right side
    93.30x = 9,185.18
  5. Step 5: Solve for x
    x = 9,185.18/93.30
  6. Step 6: Final answer
    x = 98.45

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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.