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Finding the Fourth Proportional to 93.15, 128.57 and 64.83

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Solution

The fourth proportional to 93.15, 128.57 and 64.83 is: 89.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.15 : 128.57 = 64.83 : x
  2. Step 2: Convert to fraction form
    93.15/128.57 = 64.83/x
  3. Step 3: Cross multiply
    93.15x = 128.57 × 64.83
  4. Step 4: Simplify right side
    93.15x = 8,335.19
  5. Step 5: Solve for x
    x = 8,335.19/93.15
  6. Step 6: Final answer
    x = 89.48

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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.