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Finding the Fourth Proportional to 123.10, 174.93 and 123.10

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Solution

The fourth proportional to 123.10, 174.93 and 123.10 is: 174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.10 : 174.93 = 123.10 : x
  2. Step 2: Convert to fraction form
    123.10/174.93 = 123.10/x
  3. Step 3: Cross multiply
    123.10x = 174.93 × 123.10
  4. Step 4: Simplify right side
    123.10x = 21,533.88
  5. Step 5: Solve for x
    x = 21,533.88/123.10
  6. Step 6: Final answer
    x = 174.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.