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Finding the Fourth Proportional to 89.58, 123.51 and 74.10

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Solution

The fourth proportional to 89.58, 123.51 and 74.10 is: 102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.58 : 123.51 = 74.10 : x
  2. Step 2: Convert to fraction form
    89.58/123.51 = 74.10/x
  3. Step 3: Cross multiply
    89.58x = 123.51 × 74.10
  4. Step 4: Simplify right side
    89.58x = 9,152.09
  5. Step 5: Solve for x
    x = 9,152.09/89.58
  6. Step 6: Final answer
    x = 102.17

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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.