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Finding the Fourth Proportional to 90.39, 124.64 and 64.16

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Solution

The fourth proportional to 90.39, 124.64 and 64.16 is: 88.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.39 : 124.64 = 64.16 : x
  2. Step 2: Convert to fraction form
    90.39/124.64 = 64.16/x
  3. Step 3: Cross multiply
    90.39x = 124.64 × 64.16
  4. Step 4: Simplify right side
    90.39x = 7,996.28
  5. Step 5: Solve for x
    x = 7,996.28/90.39
  6. Step 6: Final answer
    x = 88.46

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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.