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Finding the Fourth Proportional to 93.48, 128.98 and 52.02

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Solution

The fourth proportional to 93.48, 128.98 and 52.02 is: 71.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.48 : 128.98 = 52.02 : x
  2. Step 2: Convert to fraction form
    93.48/128.98 = 52.02/x
  3. Step 3: Cross multiply
    93.48x = 128.98 × 52.02
  4. Step 4: Simplify right side
    93.48x = 6,709.28
  5. Step 5: Solve for x
    x = 6,709.28/93.48
  6. Step 6: Final answer
    x = 71.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.