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Finding the Fourth Proportional to 85.23, 117.64 and 64.51

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Solution

The fourth proportional to 85.23, 117.64 and 64.51 is: 89.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.23 : 117.64 = 64.51 : x
  2. Step 2: Convert to fraction form
    85.23/117.64 = 64.51/x
  3. Step 3: Cross multiply
    85.23x = 117.64 × 64.51
  4. Step 4: Simplify right side
    85.23x = 7,588.37
  5. Step 5: Solve for x
    x = 7,588.37/85.23
  6. Step 6: Final answer
    x = 89.04

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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.