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Finding the Fourth Proportional to 93, 128.52 and 65.52

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Solution

The fourth proportional to 93, 128.52 and 65.52 is: 90.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93 : 128.52 = 65.52 : x
  2. Step 2: Convert to fraction form
    93/128.52 = 65.52/x
  3. Step 3: Cross multiply
    93x = 128.52 × 65.52
  4. Step 4: Simplify right side
    93x = 8,420.63
  5. Step 5: Solve for x
    x = 8,420.63/93
  6. Step 6: Final answer
    x = 90.54

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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.