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Finding the Fourth Proportional to 93, 127.98 and 71.08

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Solution

The fourth proportional to 93, 127.98 and 71.08 is: 97.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93 : 127.98 = 71.08 : x
  2. Step 2: Convert to fraction form
    93/127.98 = 71.08/x
  3. Step 3: Cross multiply
    93x = 127.98 × 71.08
  4. Step 4: Simplify right side
    93x = 9,096.82
  5. Step 5: Solve for x
    x = 9,096.82/93
  6. Step 6: Final answer
    x = 97.82

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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.