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Finding the Fourth Proportional to 117.01, 161.40 and 89.32

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Solution

The fourth proportional to 117.01, 161.40 and 89.32 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.01 : 161.40 = 89.32 : x
  2. Step 2: Convert to fraction form
    117.01/161.40 = 89.32/x
  3. Step 3: Cross multiply
    117.01x = 161.40 × 89.32
  4. Step 4: Simplify right side
    117.01x = 14,416.25
  5. Step 5: Solve for x
    x = 14,416.25/117.01
  6. Step 6: Final answer
    x = 123.21

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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.