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Finding the Fourth Proportional to 93.30, 128.70 and 56.46

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Solution

The fourth proportional to 93.30, 128.70 and 56.46 is: 77.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.30 : 128.70 = 56.46 : x
  2. Step 2: Convert to fraction form
    93.30/128.70 = 56.46/x
  3. Step 3: Cross multiply
    93.30x = 128.70 × 56.46
  4. Step 4: Simplify right side
    93.30x = 7,266.40
  5. Step 5: Solve for x
    x = 7,266.40/93.30
  6. Step 6: Final answer
    x = 77.88

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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.