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Finding the Fourth Proportional to 108.00, 148.95 and 64.26

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Solution

The fourth proportional to 108.00, 148.95 and 64.26 is: 88.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.00 : 148.95 = 64.26 : x
  2. Step 2: Convert to fraction form
    108.00/148.95 = 64.26/x
  3. Step 3: Cross multiply
    108.00x = 148.95 × 64.26
  4. Step 4: Simplify right side
    108.00x = 9,572.09
  5. Step 5: Solve for x
    x = 9,572.09/108.00
  6. Step 6: Final answer
    x = 88.63

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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.