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Finding the Fourth Proportional to 93.06, 128.40 and 51.60

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Solution

The fourth proportional to 93.06, 128.40 and 51.60 is: 71.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.06 : 128.40 = 51.60 : x
  2. Step 2: Convert to fraction form
    93.06/128.40 = 51.60/x
  3. Step 3: Cross multiply
    93.06x = 128.40 × 51.60
  4. Step 4: Simplify right side
    93.06x = 6,625.44
  5. Step 5: Solve for x
    x = 6,625.44/93.06
  6. Step 6: Final answer
    x = 71.20

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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.